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2x+22=7x-53
We move all terms to the left:
2x+22-(7x-53)=0
We get rid of parentheses
2x-7x+53+22=0
We add all the numbers together, and all the variables
-5x+75=0
We move all terms containing x to the left, all other terms to the right
-5x=-75
x=-75/-5
x=+15
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