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7x-(2x-6)=(x+1)-(3x+2)
We move all terms to the left:
7x-(2x-6)-((x+1)-(3x+2))=0
We get rid of parentheses
7x-2x-((x+1)-(3x+2))+6=0
We calculate terms in parentheses: -((x+1)-(3x+2)), so:We add all the numbers together, and all the variables
(x+1)-(3x+2)
We get rid of parentheses
x-3x+1-2
We add all the numbers together, and all the variables
-2x-1
Back to the equation:
-(-2x-1)
5x-(-2x-1)+6=0
We get rid of parentheses
5x+2x+1+6=0
We add all the numbers together, and all the variables
7x+7=0
We move all terms containing x to the left, all other terms to the right
7x=-7
x=-7/7
x=-1
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