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(45)(0.15)=(0.1)x+(0.3)(45-x)
We move all terms to the left:
(45)(0.15)-((0.1)x+(0.3)(45-x))=0
We add all the numbers together, and all the variables
-((0.1)x+(0.3)(-1x+45))+45(0.15)=0
We add all the numbers together, and all the variables
-((0.1)x+(0.3)(-1x+45))+6.75=0
We multiply parentheses ..
-((0.1)x+(-0.3x+13.5))+6.75=0
We calculate terms in parentheses: -((0.1)x+(-0.3x+13.5)), so:We get rid of parentheses
(0.1)x+(-0.3x+13.5)
We multiply parentheses
0.1x+(-0.3x+13.5)
We get rid of parentheses
0.1x-0.3x+13.5
We add all the numbers together, and all the variables
-0.2x+13.5
Back to the equation:
-(-0.2x+13.5)
0.2x-13.5+6.75=0
We add all the numbers together, and all the variables
0.2x-6.75=0
We move all terms containing x to the left, all other terms to the right
0.2x=6.75
x=6.75/0.2
x=33+0.15/0.2
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