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2(5x+7)=-3(x+4)
We move all terms to the left:
2(5x+7)-(-3(x+4))=0
We multiply parentheses
10x-(-3(x+4))+14=0
We calculate terms in parentheses: -(-3(x+4)), so:We get rid of parentheses
-3(x+4)
We multiply parentheses
-3x-12
Back to the equation:
-(-3x-12)
10x+3x+12+14=0
We add all the numbers together, and all the variables
13x+26=0
We move all terms containing x to the left, all other terms to the right
13x=-26
x=-26/13
x=-2
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