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120+4.5x=45-0.5x
We move all terms to the left:
120+4.5x-(45-0.5x)=0
We add all the numbers together, and all the variables
4.5x-(-0.5x+45)+120=0
We get rid of parentheses
4.5x+0.5x-45+120=0
We add all the numbers together, and all the variables
5x+75=0
We move all terms containing x to the left, all other terms to the right
5x=-75
x=-75/5
x=-15
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