diff --git a/Tests/CMakeOnly/find_library/CMakeLists.txt b/Tests/CMakeOnly/find_library/CMakeLists.txt
index 9c1aad891add0b5045e532e3e069a29a0bfa5568..749cf428ac2ba8ca8236be912075985d7afb9989 100644
--- a/Tests/CMakeOnly/find_library/CMakeLists.txt
+++ b/Tests/CMakeOnly/find_library/CMakeLists.txt
@@ -33,9 +33,11 @@ endmacro()
 
 set(CMAKE_FIND_LIBRARY_PREFIXES "lib")
 set(CMAKE_FIND_LIBRARY_SUFFIXES ".a")
+set_property(GLOBAL PROPERTY FIND_LIBRARY_USE_LIBX32_PATHS TRUE)
 set_property(GLOBAL PROPERTY FIND_LIBRARY_USE_LIB32_PATHS TRUE)
 set_property(GLOBAL PROPERTY FIND_LIBRARY_USE_LIB64_PATHS TRUE)
 
+set(CMAKE_INTERNAL_PLATFORM_ABI "ELF")
 set(CMAKE_SIZEOF_VOID_P 4)
 foreach(lib
     lib/32/libtest5.a
@@ -67,6 +69,20 @@ foreach(lib64
   test_find_library_subst(${lib64})
 endforeach()
 
+set(CMAKE_INTERNAL_PLATFORM_ABI "ELF X32")
+set(CMAKE_SIZEOF_VOID_P 4)
+foreach(libx32
+    lib/x32/libtest2.a
+    lib/A/libx32/libtest3.a
+    lib/libtest3.a
+    libx32/A/lib/libtest2.a
+    libx32/A/libx32/libtest1.a
+    libx32/A/libtest1.a
+    libx32/libtest1.a
+    )
+  test_find_library_subst(${libx32})
+endforeach()
+
 test_find_library("" A/libtestA.a
   NAMES testA testB
   PATHS ${CMAKE_CURRENT_SOURCE_DIR}/A ${CMAKE_CURRENT_SOURCE_DIR}/B
diff --git a/Tests/CMakeOnly/find_library/lib/A/libx32/libtest3.a b/Tests/CMakeOnly/find_library/lib/A/libx32/libtest3.a
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/Tests/CMakeOnly/find_library/lib/x32/libtest2.a b/Tests/CMakeOnly/find_library/lib/x32/libtest2.a
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/Tests/CMakeOnly/find_library/libx32/A/lib/libtest2.a b/Tests/CMakeOnly/find_library/libx32/A/lib/libtest2.a
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/Tests/CMakeOnly/find_library/libx32/A/libtest1.a b/Tests/CMakeOnly/find_library/libx32/A/libtest1.a
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/Tests/CMakeOnly/find_library/libx32/A/libx32/libtest1.a b/Tests/CMakeOnly/find_library/libx32/A/libx32/libtest1.a
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/Tests/CMakeOnly/find_library/libx32/libtest1.a b/Tests/CMakeOnly/find_library/libx32/libtest1.a
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/Tests/RunCMake/FindPkgConfig/FindPkgConfig_CMAKE_APPBUNDLE_PATH.cmake b/Tests/RunCMake/FindPkgConfig/FindPkgConfig_CMAKE_APPBUNDLE_PATH.cmake
index 4a4153391c0e83b6e94c5b9449cb5419f1f5f875..2687efefb47060a0d525d7e555196f38607b46d6 100644
--- a/Tests/RunCMake/FindPkgConfig/FindPkgConfig_CMAKE_APPBUNDLE_PATH.cmake
+++ b/Tests/RunCMake/FindPkgConfig/FindPkgConfig_CMAKE_APPBUNDLE_PATH.cmake
@@ -30,9 +30,12 @@ if(NOT DEFINED CMAKE_SYSTEM_NAME
     endif()
   else()
     # not debian, check the FIND_LIBRARY_USE_LIB32_PATHS and FIND_LIBRARY_USE_LIB64_PATHS properties
+    get_property(uselibx32 GLOBAL PROPERTY FIND_LIBRARY_USE_LIBX32_PATHS)
     get_property(uselib32 GLOBAL PROPERTY FIND_LIBRARY_USE_LIB32_PATHS)
     get_property(uselib64 GLOBAL PROPERTY FIND_LIBRARY_USE_LIB64_PATHS)
-    if(uselib32 AND CMAKE_SIZEOF_VOID_P EQUAL 4)
+    if(uselibx32 AND CMAKE_INTERNAL_PLATFORM_ABI STREQUAL "ELF X32")
+      set(expected_path "/baz:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/libx32/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/libx32/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib/pkgconfig")
+    elseif(uselib32 AND CMAKE_SIZEOF_VOID_P EQUAL 4)
       set(expected_path "/baz:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib32/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib32/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib/pkgconfig")
     elseif(uselib64 AND CMAKE_SIZEOF_VOID_P EQUAL 8)
       set(expected_path "/baz:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib64/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib64/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib/pkgconfig")
diff --git a/Tests/RunCMake/FindPkgConfig/FindPkgConfig_CMAKE_FRAMEWORK_PATH.cmake b/Tests/RunCMake/FindPkgConfig/FindPkgConfig_CMAKE_FRAMEWORK_PATH.cmake
index b66d02f1a7b91e36607743fc722eb2bd283c70a4..74cda2588d5d171d4c9be830202b2691c5d4c8fa 100644
--- a/Tests/RunCMake/FindPkgConfig/FindPkgConfig_CMAKE_FRAMEWORK_PATH.cmake
+++ b/Tests/RunCMake/FindPkgConfig/FindPkgConfig_CMAKE_FRAMEWORK_PATH.cmake
@@ -30,9 +30,12 @@ if(NOT DEFINED CMAKE_SYSTEM_NAME
     endif()
   else()
     # not debian, check the FIND_LIBRARY_USE_LIB64_PATHS and FIND_LIBRARY_USE_LIB64_PATHS properties
+    get_property(uselibx32 GLOBAL PROPERTY FIND_LIBRARY_USE_LIBX32_PATHS)
     get_property(uselib32 GLOBAL PROPERTY FIND_LIBRARY_USE_LIB32_PATHS)
     get_property(uselib64 GLOBAL PROPERTY FIND_LIBRARY_USE_LIB64_PATHS)
-    if(uselib32 AND CMAKE_SIZEOF_VOID_P EQUAL 4)
+    if(uselibx32 AND CMAKE_INTERNAL_PLATFORM_ABI STREQUAL "ELF X32")
+      set(expected_path "/baz:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/libx32/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/libx32/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib/pkgconfig")
+    elseif(uselib32 AND CMAKE_SIZEOF_VOID_P EQUAL 4)
       set(expected_path "/baz:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib32/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib32/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib/pkgconfig")
     elseif(uselib64 AND CMAKE_SIZEOF_VOID_P EQUAL 8)
       set(expected_path "/baz:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib64/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib64/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib/pkgconfig")
diff --git a/Tests/RunCMake/FindPkgConfig/FindPkgConfig_PKGCONFIG_PATH.cmake b/Tests/RunCMake/FindPkgConfig/FindPkgConfig_PKGCONFIG_PATH.cmake
index bdecb8ae6a640c779ecfebb08e9a6aab50a16920..1defde840530573d35bf2aa08d12c036bef5088e 100644
--- a/Tests/RunCMake/FindPkgConfig/FindPkgConfig_PKGCONFIG_PATH.cmake
+++ b/Tests/RunCMake/FindPkgConfig/FindPkgConfig_PKGCONFIG_PATH.cmake
@@ -30,9 +30,12 @@ if(NOT DEFINED CMAKE_SYSTEM_NAME
     endif()
   else()
     # not debian, check the FIND_LIBRARY_USE_LIB32_PATHS and FIND_LIBRARY_USE_LIB64_PATHS propertie
+    get_property(uselibx32 GLOBAL PROPERTY FIND_LIBRARY_USE_LIBX32_PATHS)
     get_property(uselib32 GLOBAL PROPERTY FIND_LIBRARY_USE_LIB32_PATHS)
     get_property(uselib64 GLOBAL PROPERTY FIND_LIBRARY_USE_LIB64_PATHS)
-    if(uselib32 AND CMAKE_SIZEOF_VOID_P EQUAL 4)
+    if(uselibx32 AND CMAKE_INTERNAL_PLATFORM_ABI STREQUAL "ELF X32")
+      set(expected_path "/baz:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/libx32/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/libx32/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib/pkgconfig")
+    elseif(uselib32 AND CMAKE_SIZEOF_VOID_P EQUAL 4)
       set(expected_path "/baz:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib32/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib32/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib/pkgconfig")
     elseif(uselib64 AND CMAKE_SIZEOF_VOID_P EQUAL 8)
       set(expected_path "/baz:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib64/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib64/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib/pkgconfig")
diff --git a/Tests/RunCMake/FindPkgConfig/FindPkgConfig_PKGCONFIG_PATH_NO_CMAKE_ENVIRONMENT_PATH.cmake b/Tests/RunCMake/FindPkgConfig/FindPkgConfig_PKGCONFIG_PATH_NO_CMAKE_ENVIRONMENT_PATH.cmake
index df672359746cde7d8d3ad70d410a988d47bd0ce9..166a617dfde341886f836508ca234ae7046f442f 100644
--- a/Tests/RunCMake/FindPkgConfig/FindPkgConfig_PKGCONFIG_PATH_NO_CMAKE_ENVIRONMENT_PATH.cmake
+++ b/Tests/RunCMake/FindPkgConfig/FindPkgConfig_PKGCONFIG_PATH_NO_CMAKE_ENVIRONMENT_PATH.cmake
@@ -30,9 +30,12 @@ if(NOT DEFINED CMAKE_SYSTEM_NAME
     endif()
   else()
     # not debian, check the FIND_LIBRARY_USE_LIB32_PATHS and FIND_LIBRARY_USE_LIB64_PATHS properties
+    get_property(uselibx32 GLOBAL PROPERTY FIND_LIBRARY_USE_LIBX32_PATHS)
     get_property(uselib32 GLOBAL PROPERTY FIND_LIBRARY_USE_LIB32_PATHS)
     get_property(uselib64 GLOBAL PROPERTY FIND_LIBRARY_USE_LIB64_PATHS)
-    if(uselib32 AND CMAKE_SIZEOF_VOID_P EQUAL 4)
+    if(uselibx32 AND CMAKE_INTERNAL_PLATFORM_ABI STREQUAL "ELF X32")
+      set(expected_path "/baz:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/libx32/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib/pkgconfig")
+    elseif(uselib32 AND CMAKE_SIZEOF_VOID_P EQUAL 4)
       set(expected_path "/baz:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib32/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib/pkgconfig")
     elseif(uselib64 AND CMAKE_SIZEOF_VOID_P EQUAL 8)
       set(expected_path "/baz:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib64/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-foo/lib/pkgconfig")
diff --git a/Tests/RunCMake/FindPkgConfig/FindPkgConfig_PKGCONFIG_PATH_NO_CMAKE_PATH.cmake b/Tests/RunCMake/FindPkgConfig/FindPkgConfig_PKGCONFIG_PATH_NO_CMAKE_PATH.cmake
index 1351b6fbf317b7439d06db3edcb124b0868f95d3..e4673b3c1867046ef80ce226799c307370b003b1 100644
--- a/Tests/RunCMake/FindPkgConfig/FindPkgConfig_PKGCONFIG_PATH_NO_CMAKE_PATH.cmake
+++ b/Tests/RunCMake/FindPkgConfig/FindPkgConfig_PKGCONFIG_PATH_NO_CMAKE_PATH.cmake
@@ -30,9 +30,12 @@ if(NOT DEFINED CMAKE_SYSTEM_NAME
     endif()
   else()
     # not debian, check the FIND_LIBRARY_USE_LIB64_PATHS and FIND_LIBRARY_USE_LIB32_PATHS properties
+    get_property(uselibx32 GLOBAL PROPERTY FIND_LIBRARY_USE_LIBX32_PATHS)
     get_property(uselib32 GLOBAL PROPERTY FIND_LIBRARY_USE_LIB32_PATHS)
     get_property(uselib64 GLOBAL PROPERTY FIND_LIBRARY_USE_LIB64_PATHS)
-    if(uselib32 AND CMAKE_SIZEOF_VOID_P EQUAL 4)
+    if(uselibx32 AND CMAKE_INTERNAL_PLATFORM_ABI STREQUAL "ELF X32")
+      set(expected_path "/baz:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/libx32/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib/pkgconfig")
+    elseif(uselib32 AND CMAKE_SIZEOF_VOID_P EQUAL 4)
       set(expected_path "/baz:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib32/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib/pkgconfig")
     elseif(uselib64 AND CMAKE_SIZEOF_VOID_P EQUAL 8)
       set(expected_path "/baz:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib64/pkgconfig:${CMAKE_CURRENT_SOURCE_DIR}/pc-bar/lib/pkgconfig")
diff --git a/Tests/RunCMake/FindPkgConfig/pc-bar/libx32/pkgconfig/.placeholder b/Tests/RunCMake/FindPkgConfig/pc-bar/libx32/pkgconfig/.placeholder
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/Tests/RunCMake/FindPkgConfig/pc-foo/libx32/pkgconfig/.placeholder b/Tests/RunCMake/FindPkgConfig/pc-foo/libx32/pkgconfig/.placeholder
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391