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-6(1+x)=-7x-3
We move all terms to the left:
-6(1+x)-(-7x-3)=0
We add all the numbers together, and all the variables
-6(x+1)-(-7x-3)=0
We multiply parentheses
-6x-(-7x-3)-6=0
We get rid of parentheses
-6x+7x+3-6=0
We add all the numbers together, and all the variables
x-3=0
We move all terms containing x to the left, all other terms to the right
x=3
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