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