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5(x-1)+2(2x+1)=11
We move all terms to the left:
5(x-1)+2(2x+1)-(11)=0
We multiply parentheses
5x+4x-5+2-11=0
We add all the numbers together, and all the variables
9x-14=0
We move all terms containing x to the left, all other terms to the right
9x=14
x=14/9
x=1+5/9
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