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5x+22=12x-13
We move all terms to the left:
5x+22-(12x-13)=0
We get rid of parentheses
5x-12x+13+22=0
We add all the numbers together, and all the variables
-7x+35=0
We move all terms containing x to the left, all other terms to the right
-7x=-35
x=-35/-7
x=+5
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