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5x+13=6x-32
We move all terms to the left:
5x+13-(6x-32)=0
We get rid of parentheses
5x-6x+32+13=0
We add all the numbers together, and all the variables
-1x+45=0
We move all terms containing x to the left, all other terms to the right
-x=-45
x=-45/-1
x=+45
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