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(3x+9.5)+(x+6.5)=100
We move all terms to the left:
(3x+9.5)+(x+6.5)-(100)=0
We get rid of parentheses
3x+x+9.5+6.5-100=0
We add all the numbers together, and all the variables
4x-84=0
We move all terms containing x to the left, all other terms to the right
4x=84
x=84/4
x=21
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