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7x+15=12x-35
We move all terms to the left:
7x+15-(12x-35)=0
We get rid of parentheses
7x-12x+35+15=0
We add all the numbers together, and all the variables
-5x+50=0
We move all terms containing x to the left, all other terms to the right
-5x=-50
x=-50/-5
x=+10
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