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5x+25=x-7
We move all terms to the left:
5x+25-(x-7)=0
We get rid of parentheses
5x-x+7+25=0
We add all the numbers together, and all the variables
4x+32=0
We move all terms containing x to the left, all other terms to the right
4x=-32
x=-32/4
x=-8
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