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7x-3=-4x+18
We move all terms to the left:
7x-3-(-4x+18)=0
We get rid of parentheses
7x+4x-18-3=0
We add all the numbers together, and all the variables
11x-21=0
We move all terms containing x to the left, all other terms to the right
11x=21
x=21/11
x=1+10/11
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