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(5x+24)=9x-17
We move all terms to the left:
(5x+24)-(9x-17)=0
We get rid of parentheses
5x-9x+24+17=0
We add all the numbers together, and all the variables
-4x+41=0
We move all terms containing x to the left, all other terms to the right
-4x=-41
x=-41/-4
x=10+1/4
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