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3x-6=7x-3
We move all terms to the left:
3x-6-(7x-3)=0
We get rid of parentheses
3x-7x+3-6=0
We add all the numbers together, and all the variables
-4x-3=0
We move all terms containing x to the left, all other terms to the right
-4x=3
x=3/-4
x=-3/4
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