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5x+5=-4x-7
We move all terms to the left:
5x+5-(-4x-7)=0
We get rid of parentheses
5x+4x+7+5=0
We add all the numbers together, and all the variables
9x+12=0
We move all terms containing x to the left, all other terms to the right
9x=-12
x=-12/9
x=-1+1/3
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