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6(x+1)=-2(x+9)
We move all terms to the left:
6(x+1)-(-2(x+9))=0
We multiply parentheses
6x-(-2(x+9))+6=0
We calculate terms in parentheses: -(-2(x+9)), so:We get rid of parentheses
-2(x+9)
We multiply parentheses
-2x-18
Back to the equation:
-(-2x-18)
6x+2x+18+6=0
We add all the numbers together, and all the variables
8x+24=0
We move all terms containing x to the left, all other terms to the right
8x=-24
x=-24/8
x=-3
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