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1/x=(x+1)/6
We simplify the equation to the form, which is simple to understand
1/x=(x+1)/6
Reorder the terms in parentheses
/x=( + 0.16666666666667x + 0.16666666666667)
Remove unnecessary parentheses
/x=0.16666666666667x + 0.16666666666667
We move all terms containing x to the left and all other terms to the right.
+1x-0.16666666666667x=0.16666666666667
We simplify left and right side of the equation.
+ 0.83333333333333x=0.16666666666667
We divide both sides of the equation by 0.83333333333333 to get x.
x=0.2
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