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3x+6=7x-9x+47
We move all terms to the left:
3x+6-(7x-9x+47)=0
We add all the numbers together, and all the variables
3x-(-2x+47)+6=0
We get rid of parentheses
3x+2x-47+6=0
We add all the numbers together, and all the variables
5x-41=0
We move all terms containing x to the left, all other terms to the right
5x=41
x=41/5
x=8+1/5
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