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9x+7=13x-17
We move all terms to the left:
9x+7-(13x-17)=0
We get rid of parentheses
9x-13x+17+7=0
We add all the numbers together, and all the variables
-4x+24=0
We move all terms containing x to the left, all other terms to the right
-4x=-24
x=-24/-4
x=+6
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