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2(x+1)=9x-3
We move all terms to the left:
2(x+1)-(9x-3)=0
We multiply parentheses
2x-(9x-3)+2=0
We get rid of parentheses
2x-9x+3+2=0
We add all the numbers together, and all the variables
-7x+5=0
We move all terms containing x to the left, all other terms to the right
-7x=-5
x=-5/-7
x=5/7
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