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