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10(x+11)=-20(8-x)
We move all terms to the left:
10(x+11)-(-20(8-x))=0
We add all the numbers together, and all the variables
10(x+11)-(-20(-1x+8))=0
We multiply parentheses
10x-(-20(-1x+8))+110=0
We calculate terms in parentheses: -(-20(-1x+8)), so:We get rid of parentheses
-20(-1x+8)
We multiply parentheses
20x-160
Back to the equation:
-(20x-160)
10x-20x+160+110=0
We add all the numbers together, and all the variables
-10x+270=0
We move all terms containing x to the left, all other terms to the right
-10x=-270
x=-270/-10
x=+27
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