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6x+12=47-x
We move all terms to the left:
6x+12-(47-x)=0
We add all the numbers together, and all the variables
6x-(-1x+47)+12=0
We get rid of parentheses
6x+1x-47+12=0
We add all the numbers together, and all the variables
7x-35=0
We move all terms containing x to the left, all other terms to the right
7x=35
x=35/7
x=5
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