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8x-3=4.5x+18
We move all terms to the left:
8x-3-(4.5x+18)=0
We get rid of parentheses
8x-4.5x-18-3=0
We add all the numbers together, and all the variables
3.5x-21=0
We move all terms containing x to the left, all other terms to the right
3.5x=21
x=21/3.5
x=6
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