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4x+4=18x-9
We move all terms to the left:
4x+4-(18x-9)=0
We get rid of parentheses
4x-18x+9+4=0
We add all the numbers together, and all the variables
-14x+13=0
We move all terms containing x to the left, all other terms to the right
-14x=-13
x=-13/-14
x=13/14
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