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6.5(x-1)=0.5x+42.5
We move all terms to the left:
6.5(x-1)-(0.5x+42.5)=0
We multiply parentheses
6.5x-(0.5x+42.5)-6.5=0
We get rid of parentheses
6.5x-0.5x-42.5-6.5=0
We add all the numbers together, and all the variables
6x-49=0
We move all terms containing x to the left, all other terms to the right
6x=49
x=49/6
x=8+1/6
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