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(5x+1)/9-(3x-4)/11=(4x-49)/3
We simplify the equation to the form, which is simple to understand
(5x+1)/9-(3x-4)/11=(4x-49)/3
Reorder the terms in parentheses
( + 0.555555555556x + 0.111111111111)-(3x-4)/11=(4x-49)/3
Remove unnecessary parentheses
+ 0.555555555556x + 0.111111111111-(3x-4)/11=(4x-49)/3
Reorder the terms in parentheses
+ 0.555555555556x + 0.111111111111-( + 0.272727272727x-0.363636363636)=(4x-49)/3
Remove unnecessary parentheses
+ 0.555555555556x + 0.111111111111-0.272727272727x + 0.363636363636=(4x-49)/3
Reorder the terms in parentheses
+ 0.555555555556x + 0.111111111111-0.272727272727x + 0.363636363636=(+1.33333333333x-16.3333333333)
Remove unnecessary parentheses
+ 0.555555555556x + 0.111111111111-0.272727272727x + 0.363636363636=+1.33333333333x-16.3333333333
We move all terms containing x to the left and all other terms to the right.
+ 0.555555555556x-0.272727272727x-1.33333333333x=-16.3333333333-0.111111111111-0.363636363636
We simplify left and right side of the equation.
-1.0505050505x=-16.808080808
We divide both sides of the equation by -1.0505050505 to get x.
x=16
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