--- libsolv-0.7.15/src/rules.c.orig	2020-09-13 11:49:27.386000000 +0200
+++ libsolv-0.7.15/src/rules.c	2020-09-13 11:46:18.006000000 +0200
@@ -1075,6 +1075,9 @@
 		    p = 0;
 		  if (s->name == ps->name)
 		    {
+		      /* x86-64: allow cohexistence with x86 arch packages */
+		      if (ps->arch != s->arch && !s->supplements)
+			continue;
 		      /* optimization: do not add the same-name conflict rule if it was
 		       * already added when we looked at the other package.
 		       * (this assumes pool_colormatch is symmetric) */