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\frac{19}{30}x=-17+17
Combine \frac{1}{3}x and \frac{3}{10}x to get \frac{19}{30}x.
\frac{19}{30}x=0
Add -17 and 17 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since \frac{19}{30} is not equal to 0, x must be equal to 0.