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9x+4=4x-4
We move all terms to the left:
9x+4-(4x-4)=0
We get rid of parentheses
9x-4x+4+4=0
We add all the numbers together, and all the variables
5x+8=0
We move all terms containing x to the left, all other terms to the right
5x=-8
x=-8/5
x=-1+3/5
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