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5x+22=12x+55
We move all terms to the left:
5x+22-(12x+55)=0
We get rid of parentheses
5x-12x-55+22=0
We add all the numbers together, and all the variables
-7x-33=0
We move all terms containing x to the left, all other terms to the right
-7x=33
x=33/-7
x=-4+5/7
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