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(5x+1/9)-(4x+1/2)=(1/6)
We move all terms to the left:
(5x+1/9)-(4x+1/2)-((1/6))=0
We add all the numbers together, and all the variables
(+5x+1/9)-(+4x+1/2)-((+1/6))=0
We get rid of parentheses
5x-4x+1/9-1/2-((+1/6))=0
We calculate fractions
5x-4x+()/()+()/()+()/()=0
We add all the numbers together, and all the variables
x+3=0
We move all terms containing x to the left, all other terms to the right
x=-3
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