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7x+6=3x+15
We move all terms to the left:
7x+6-(3x+15)=0
We get rid of parentheses
7x-3x-15+6=0
We add all the numbers together, and all the variables
4x-9=0
We move all terms containing x to the left, all other terms to the right
4x=9
x=9/4
x=2+1/4
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