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-0.5(0.67x-0.75)-3.5x=-83/24
We move all terms to the left:
-0.5(0.67x-0.75)-3.5x-(-83/24)=0
We add all the numbers together, and all the variables
-3.5x-0.5(0.67x-0.75)-(-83/24)=0
We multiply parentheses
-3.5x-0x+0.375-(-83/24)=0
We get rid of parentheses
-3.5x-0x+0.375+83/24=0
We multiply all the terms by the denominator
-(3.5x)*24-0x*24+83+(0.375)*24=0
We add all the numbers together, and all the variables
-(+3.5x)*24-0x*24+83+(0.375)*24=0
We add all the numbers together, and all the variables
-(+3.5x)*24-0x*24+92=0
We multiply parentheses
-72x-0x*24+92=0
Wy multiply elements
-72x+0x+92=0
We add all the numbers together, and all the variables
-71x+92=0
We move all terms containing x to the left, all other terms to the right
-71x=-92
x=-92/-71
x=1+21/71
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