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(1/7)x+(1/2)(-x+4)=2(x-28)+27
We simplify the equation to the form, which is simple to understand
(1/7)x+(1/2)*(-x+4)=2(x-28)+27
Simplifying:
( + 0.142857142857)*x+(1/2)*(-x+4)=2*(x-28)+27
Simplifying:
( + 0.142857142857)*x+( + 0.5)*(-x+4)=2*(x-28)+27
Reorder the terms in parentheses
( + 0.142857142857x)+( + 0.5)*(-x+4)=2*(x-28)+27
Remove unnecessary parentheses
+ 0.142857142857x+( + 0.5)*(-x+4)=2*(x-28)+27
Reorder the terms in parentheses
multiplication of parentheses
+ 0.142857142857x+(-0.5x+2)=2*(x-28)+27
Remove unnecessary parentheses
+ 0.142857142857x-0.5x+2=+2+*(+x-28+)+27
Reorder the terms in parentheses
+ 0.142857142857x-0.5x+2=+(+2x-56)+27
Remove unnecessary parentheses
+ 0.142857142857x-0.5x+2=+2x-56+27
We move all terms containing x to the left and all other terms to the right.
+ 0.142857142857x-0.5x-2x=-56+27-2
We simplify left and right side of the equation.
-2.35714285714x=-31
We divide both sides of the equation by -2.35714285714 to get x.
x=13.1515151515
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