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4x+16=9x-9
We move all terms to the left:
4x+16-(9x-9)=0
We get rid of parentheses
4x-9x+9+16=0
We add all the numbers together, and all the variables
-5x+25=0
We move all terms containing x to the left, all other terms to the right
-5x=-25
x=-25/-5
x=+5
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