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4x-1=9x+16
We move all terms to the left:
4x-1-(9x+16)=0
We get rid of parentheses
4x-9x-16-1=0
We add all the numbers together, and all the variables
-5x-17=0
We move all terms containing x to the left, all other terms to the right
-5x=17
x=17/-5
x=-3+2/5
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