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7x+83=9x+3
We move all terms to the left:
7x+83-(9x+3)=0
We get rid of parentheses
7x-9x-3+83=0
We add all the numbers together, and all the variables
-2x+80=0
We move all terms containing x to the left, all other terms to the right
-2x=-80
x=-80/-2
x=+40
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