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2(3x+1)=-4x-2
We move all terms to the left:
2(3x+1)-(-4x-2)=0
We multiply parentheses
6x-(-4x-2)+2=0
We get rid of parentheses
6x+4x+2+2=0
We add all the numbers together, and all the variables
10x+4=0
We move all terms containing x to the left, all other terms to the right
10x=-4
x=-4/10
x=-2/5
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