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(9-3x)-(17x-10)=1
We move all terms to the left:
(9-3x)-(17x-10)-(1)=0
We add all the numbers together, and all the variables
(-3x+9)-(17x-10)-1=0
We get rid of parentheses
-3x-17x+9+10-1=0
We add all the numbers together, and all the variables
-20x+18=0
We move all terms containing x to the left, all other terms to the right
-20x=-18
x=-18/-20
x=9/10
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