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2x+14=-2x-2
We move all terms to the left:
2x+14-(-2x-2)=0
We get rid of parentheses
2x+2x+2+14=0
We add all the numbers together, and all the variables
4x+16=0
We move all terms containing x to the left, all other terms to the right
4x=-16
x=-16/4
x=-4
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