You have heard that the law of Moses says, "Do not murder. If you commit murder, you are subject to judgment." But I say, if you are angry with someone, you are subject to judgment! If you say to your friend, "You idiot," you are in danger of being brought before the court. And if you curse someone, you are in danger of hell fire.
So, if you are standing before the altar in the Temple, offering a sacrifice to God, and you remember that someone has something against you, leave your sacrifice there. Go and be reconciled to that person. Then come and offer your sacrifice to God.
Jesus is always clear that our faith expression, our desire to serve God is directly tied to our relationships with others. Relationship with others is the hinge on which our relationship with God may have its most meaning. You cannot come to God with your gift/service/offering unless your relationship with your brother is right. Every time, our faith has a horizontal component as well as a vertical component.
And this is much more than "tolerance," which is a false/fake version of reconciling in modern culture. While Jesus is dealing with anger and bullying, he is asking for more than just a ceasing of hostilities. To reconcile is to renew a friendship with someone and to change thoroughly. I'm almost sure it doesn't mean to change them, but to change ourselves. Given the following set of verses, Jesus references a specific example of consequences relating to debts owed...and we know the debts owed due to love.
What a challenge! This is a serious piece of getting ready for heaven for me. I do not want to be on my death bed wanting to get things right with my brothers, near and far. So, I have to rid myself of hate-prodders. I have to spend more time with the Lord on that sacred ground of prayer in order to look for leads and opportunities and a change of mindset. My part lies in the practices of prayer, love, and kindness.
I have found that outreach is the necessary move. Jesus does say to leave your gift and go. You can't wait for them to come, or the consequences come with them. Go in prayer. God in love. Go in kindness.