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(3x+2)/4+(x+7)/3-(x+1)/2=0
We simplify the equation to the form, which is simple to understand
(3x+2)/4+(x+7)/3-(x+1)/2=0
Reorder the terms in parentheses
( + 0.75x + 0.5)+(x+7)/3-(x+1)/2=0
Remove unnecessary parentheses
+ 0.75x + 0.5+(x+7)/3-(x+1)/2=0
Reorder the terms in parentheses
+ 0.75x + 0.5+( + 0.333333333333x+2.33333333333)-(x+1)/2=0
Remove unnecessary parentheses
+ 0.75x + 0.5 + 0.333333333333x+2.33333333333-(+x+1+)+/2=0
Reorder the terms in parentheses
+ 0.75x + 0.5 + 0.333333333333x+2.33333333333-( + 0.5x + 0.5)=0
Remove unnecessary parentheses
+ 0.75x + 0.5 + 0.333333333333x+2.33333333333-0.5x-0.5=0
We move all terms containing x to the left and all other terms to the right.
+ 0.75x + 0.333333333333x-0.5x=0-0.5-2.33333333333 + 0.5
We simplify left and right side of the equation.
+ 0.583333333333x=-2.33333333333
We divide both sides of the equation by 0.583333333333 to get x.
x=-3.99999999999
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