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x+17=2x-2
We move all terms to the left:
x+17-(2x-2)=0
We get rid of parentheses
x-2x+2+17=0
We add all the numbers together, and all the variables
-1x+19=0
We move all terms containing x to the left, all other terms to the right
-x=-19
x=-19/-1
x=+19
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