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4(9x+17)=-14x+18
We move all terms to the left:
4(9x+17)-(-14x+18)=0
We multiply parentheses
36x-(-14x+18)+68=0
We get rid of parentheses
36x+14x-18+68=0
We add all the numbers together, and all the variables
50x+50=0
We move all terms containing x to the left, all other terms to the right
50x=-50
x=-50/50
x=-1
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