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4x+8=-2x-2
We move all terms to the left:
4x+8-(-2x-2)=0
We get rid of parentheses
4x+2x+2+8=0
We add all the numbers together, and all the variables
6x+10=0
We move all terms containing x to the left, all other terms to the right
6x=-10
x=-10/6
x=-1+2/3
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