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7.5x-1/3=6.7-4.5x
We move all terms to the left:
7.5x-1/3-(6.7-4.5x)=0
We add all the numbers together, and all the variables
7.5x-(-4.5x+6.7)-1/3=0
We get rid of parentheses
7.5x+4.5x-6.7-1/3=0
We multiply all the terms by the denominator
(7.5x)*3+(4.5x)*3-1-(6.7)*3=0
We add all the numbers together, and all the variables
(+7.5x)*3+(+4.5x)*3-1-(6.7)*3=0
We add all the numbers together, and all the variables
(+7.5x)*3+(+4.5x)*3-21.1=0
We multiply parentheses
21x+12x-21.1=0
We add all the numbers together, and all the variables
33x-21.1=0
We move all terms containing x to the left, all other terms to the right
33x=21.1
x=21.1/33
x=6.8064516129/10.6451612903
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