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2(5x+9)=-4x
We move all terms to the left:
2(5x+9)-(-4x)=0
We multiply parentheses
10x-(-4x)+18=0
We get rid of parentheses
10x+4x+18=0
We add all the numbers together, and all the variables
14x+18=0
We move all terms containing x to the left, all other terms to the right
14x=-18
x=-18/14
x=-1+2/7
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