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4x+9=-4x-7
We move all terms to the left:
4x+9-(-4x-7)=0
We get rid of parentheses
4x+4x+7+9=0
We add all the numbers together, and all the variables
8x+16=0
We move all terms containing x to the left, all other terms to the right
8x=-16
x=-16/8
x=-2
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