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x+7=18x-2
We move all terms to the left:
x+7-(18x-2)=0
We get rid of parentheses
x-18x+2+7=0
We add all the numbers together, and all the variables
-17x+9=0
We move all terms containing x to the left, all other terms to the right
-17x=-9
x=-9/-17
x=9/17
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