Can you accept your ex-girlfriend back even though she cheated?

Candass
I was with my boyfriend for 2 years and a half. We had our good times and great times. Though, about a month ago, times were going bad because I lost my job. We began to get into little agreements all the time. I decided to take a break and he agreed. (it was more like giving each other some space for about a month) well the break started and two days after I cheated on my boyfriend. I felt bad and I wanted to tell him. He found out about a month later, which was five days ago from today, and he said it was over. It is hard to get over him. I love him so much. I tried my best to let him know that I was at fault and I made a mistake. I apologized and I told him that I truly lost the love of my life. His last words to me was that, "he can not trust me so the relationship can not work and that he hoped I find someone new and better. We're done"

My question to you guys and girls, mostly guys, is would you take your girlfriend or boyfriend back even though they cheated?

What if your girlfriend or boyfriend had explained to you that they made a mistake and really sincerely apologized truly?
Can you accept your ex-girlfriend back even though she cheated?
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