diff --git a/llvm/lib/Analysis/ScalarEvolutionExpander.cpp b/llvm/lib/Analysis/ScalarEvolutionExpander.cpp
index 77164356d8e1..77e4ec7ab40c 100644
--- a/llvm/lib/Analysis/ScalarEvolutionExpander.cpp
+++ b/llvm/lib/Analysis/ScalarEvolutionExpander.cpp
@@ -1288,6 +1288,13 @@ Value *SCEVExpander::expandAddRecExprLiterally(const SCEVAddRecExpr *S) {
   if (!SE.dominates(Step, L->getHeader())) {
     PostLoopScale = Step;
     Step = SE.getConstant(Normalized->getType(), 1);
+    if (!Start->isZero()) {
+        // The normalization below assumes that Start is constant zero, so if
+        // it isn't re-associate Start to PostLoopOffset.
+        assert(!PostLoopOffset && "Start not-null but PostLoopOffset set?");
+        PostLoopOffset = Start;
+        Start = SE.getConstant(Normalized->getType(), 0);
+    }
     Normalized =
       cast<SCEVAddRecExpr>(SE.getAddRecExpr(
                              Start, Step, Normalized->getLoop(),
diff --git a/llvm/test/Analysis/ScalarEvolution/incorrect-offset-scaling.ll b/llvm/test/Analysis/ScalarEvolution/incorrect-offset-scaling.ll
new file mode 100644
index 000000000000..7ffb0936d105
--- /dev/null
+++ b/llvm/test/Analysis/ScalarEvolution/incorrect-offset-scaling.ll
@@ -0,0 +1,48 @@
+; RUN: opt -S -loop-reduce < %s | FileCheck %s
+
+target triple = "x86_64-unknown-unknown"
+target datalayout = "e-m:o-i64:64-f80:128-n8:16:32:64-S128"
+
+define void @incorrect_offset_scaling(i64, i64*) {
+top:
+  br label %L
+
+L:                                                ; preds = %idxend.10, %idxend, %L2, %top
+  br i1 undef, label %L, label %L1
+
+L1:                                               ; preds = %L1.preheader, %L2
+  %r13 = phi i64 [ %r1, %L2 ], [ 1, %L ]
+; CHECK:  %lsr.iv = phi i64 [ 0, %L{{[^ ]+}} ], [ %lsr.iv.next, %L2 ]
+; CHECK-NOT:  %lsr.iv = phi i64 [ -1, %L{{[^ ]+}} ], [ %lsr.iv.next, %L2 ]
+; CHECK:  br
+  %r0 = add i64 %r13, -1
+  br label %idxend.8
+
+L2:                                               ; preds = %idxend.8
+  %r1 = add i64 %r13, 1
+  br i1 undef, label %L, label %L1
+
+if6:                                              ; preds = %idxend.8
+  %r2 = add i64 %0, -1
+  %r3 = load i64, i64* %1, align 8
+; CHECK-NOT:  %r2
+; CHECK:  %r3 = load i64
+  br label %ib
+
+idxend.8:                                         ; preds = %L1
+  br i1 undef, label %if6, label %L2
+
+ib:                                               ; preds = %if6
+  %r4 = mul i64 %r3, %r0
+  %r5 = add i64 %r2, %r4
+  %r6 = icmp ult i64 %r5, undef
+; CHECK  %2 = mul i64 %lsr.iv, %r3
+; CHECK  %3 = add i64 %1, -1
+; CHECK  %4 = add i64 %0, %r3
+; CHECK  %r6
+  %r7 = getelementptr i64, i64* undef, i64 %r5
+  store i64 1, i64* %r7, align 8
+; CHECK  %5 = mul i64 %lsr.iv, %r3
+; CHECK  %6 = add i64 %5, -1
+  br label %L
+}