I haven't read the rest of the posts in the thread, but this jumped out at me. You're predicating your question on the fact that you ARE in a stable relationship.
You are NOT.
A stable relationship doesn't have this problem. Not being in a stable relationship, do you have the same investment that you would if it were a stable relationship or have you been sold a bill of goods?
Perspective. How much do you REALLY want to see? How gullible, or not, are you?
Cheaters change sometimes.
Sometimes cheaters don't change.
But the fact that he's broken your trust, that needs some consideration. Is it the only time? Will it BE the only time?