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(2+3)(3+2x)=45-7.5(x+3)
We move all terms to the left:
(2+3)(3+2x)-(45-7.5(x+3))=0
We add all the numbers together, and all the variables
5(2x+3)-(45-7.5(x+3))=0
We multiply parentheses
10x-(45-7.5(x+3))+15=0
We calculate terms in parentheses: -(45-7.5(x+3)), so:We get rid of parentheses
45-7.5(x+3)
determiningTheFunctionDomain -7.5(x+3)+45
We multiply parentheses
-7.5x-22.5+45
We add all the numbers together, and all the variables
-7.5x+22.5
Back to the equation:
-(-7.5x+22.5)
10x+7.5x-22.5+15=0
We add all the numbers together, and all the variables
17.5x-7.5=0
We move all terms containing x to the left, all other terms to the right
17.5x=7.5
x=7.5/17.5
x=5/11.666666666667
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