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7x+5=-2x-12
We move all terms to the left:
7x+5-(-2x-12)=0
We get rid of parentheses
7x+2x+12+5=0
We add all the numbers together, and all the variables
9x+17=0
We move all terms containing x to the left, all other terms to the right
9x=-17
x=-17/9
x=-1+8/9
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