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4x+1=3x+9.5
We move all terms to the left:
4x+1-(3x+9.5)=0
We get rid of parentheses
4x-3x-9.5+1=0
We add all the numbers together, and all the variables
x-8.5=0
We move all terms containing x to the left, all other terms to the right
x=8.5
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