Should I take him back?

My ex and I broke up a few months ago and things were really rough. We saw each other a couple of times and were intimate but I found out that he had been intimate with somebody else during this time as well. He is now apologising profusely and saying it meant nothing and all about how much he loves me and wants to prove it to me for the rest of his life. Would I be crazy? I don't know what the right decision is
Should I take him back?
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