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x+\frac{1}{6}x=0
Add \frac{1}{6}x to both sides.
\frac{7}{6}x=0
Combine x and \frac{1}{6}x to get \frac{7}{6}x.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since \frac{7}{6} is not equal to 0, x must be equal to 0.