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5(x-1)=-0.5x+28.5
We move all terms to the left:
5(x-1)-(-0.5x+28.5)=0
We multiply parentheses
5x-(-0.5x+28.5)-5=0
We get rid of parentheses
5x+0.5x-28.5-5=0
We add all the numbers together, and all the variables
5.5x-33.5=0
We move all terms containing x to the left, all other terms to the right
5.5x=33.5
x=33.5/5.5
x=6+0.5/5.5
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