diff --git a/chapter05/gcc-pass1.xml b/chapter05/gcc-pass1.xml
index 32ace456a..d060ade5f 100644
--- a/chapter05/gcc-pass1.xml
+++ b/chapter05/gcc-pass1.xml
@@ -62,15 +62,13 @@ mv -v gmp-&gmp-version; gmp
 tar -xf ../mpc-&mpc-version;.tar.gz
 mv -v mpc-&mpc-version; mpc</userinput></screen>
 
-    <para>On x86_64 hosts, set the default directory name for
-    64-bit libraries to <quote>lib</quote>:</para>
+    <para>For x86_64 target, set the default directory name for
+    64-bit libraries to <quote>lib</quote>.  The command is unnecessary,
+    but harmless for 32-bit x86.  If you are building for another target,
+    you may need to adjust the command for your target.</para>
 
-<screen><userinput remap="pre">case $(uname -m) in
-  x86_64)
-    sed -e '/m64=/s/lib64/lib/' \
-        -i.orig gcc/config/i386/t-linux64
- ;;
-esac</userinput></screen>
+<screen><userinput remap="pre">sed -e '/m64=/s/lib64/lib/' \
+    -i.orig gcc/config/i386/t-linux64</userinput></screen>
 
     <para>The GCC documentation recommends building GCC
     in a dedicated build directory:</para>
diff --git a/chapter06/gcc-pass2.xml b/chapter06/gcc-pass2.xml
index bf3007848..abe055e3f 100644
--- a/chapter06/gcc-pass2.xml
+++ b/chapter06/gcc-pass2.xml
@@ -54,14 +54,14 @@ mv -v gmp-&gmp-version; gmp
 tar -xf ../mpc-&mpc-version;.tar.gz
 mv -v mpc-&mpc-version; mpc</userinput></screen>
 
-    <para>If building on x86_64, change the default directory name for 64-bit
-    libraries to <quote>lib</quote>:</para>
+    <para>For x86_64 target, set the default directory name for
+    64-bit libraries to <quote>lib</quote>.  The command is unnecessary,
+    but harmless for 32-bit x86.  If you are building for another target,
+    you may need to adjust the command for your target.</para>
+
+<screen><userinput remap="pre">sed -e '/m64=/s/lib64/lib/' \
+    -i.orig gcc/config/i386/t-linux64</userinput></screen>
 
-<screen><userinput remap="pre">case $(uname -m) in
-  x86_64)
-    sed -e '/m64=/s/lib64/lib/' -i.orig gcc/config/i386/t-linux64
-  ;;
-esac</userinput></screen>
 <!--
     <para>Fix an issue with GCC-10.1 when building with a cross
     compiler:</para>
diff --git a/chapter08/gcc.xml b/chapter08/gcc.xml
index cd3a9b9fe..ee1274815 100644
--- a/chapter08/gcc.xml
+++ b/chapter08/gcc.xml
@@ -49,15 +49,13 @@
     -e 's/return kAltStackSize/return SIGSTKSZ * 4/' \
     -i libsanitizer/sanitizer_common/sanitizer_posix_libcdep.cpp</userinput></screen>
 
-    <para>If building on x86_64, change the default directory name for 64-bit
-    libraries to <quote>lib</quote>:</para>
+    <para>For x86_64 target, set the default directory name for
+    64-bit libraries to <quote>lib</quote>.  The command is unnecessary,
+    but harmless for 32-bit x86.  If you are building for another target,
+    you may need to adjust the command for your target.</para>
 
-<screen><userinput remap="pre">case $(uname -m) in
-  x86_64)
-    sed -e '/m64=/s/lib64/lib/' \
-        -i.orig gcc/config/i386/t-linux64
-  ;;
-esac</userinput></screen>
+<screen><userinput remap="pre">sed -e '/m64=/s/lib64/lib/' \
+    -i.orig gcc/config/i386/t-linux64</userinput></screen>
 
     <para>The GCC documentation recommends building GCC in a dedicated build directory:</para>