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11(x+6)=13x+24
We move all terms to the left:
11(x+6)-(13x+24)=0
We multiply parentheses
11x-(13x+24)+66=0
We get rid of parentheses
11x-13x-24+66=0
We add all the numbers together, and all the variables
-2x+42=0
We move all terms containing x to the left, all other terms to the right
-2x=-42
x=-42/-2
x=+21
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