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47=5x+17
We move all terms to the left:
47-(5x+17)=0
We get rid of parentheses
-5x-17+47=0
We add all the numbers together, and all the variables
-5x+30=0
We move all terms containing x to the left, all other terms to the right
-5x=-30
x=-30/-5
x=+6
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