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x=\frac{11\times 20}{30}x+20x
Express \frac{11}{30}\times 20 as a single fraction.
x=\frac{220}{30}x+20x
Multiply 11 and 20 to get 220.
x=\frac{22}{3}x+20x
Reduce the fraction \frac{220}{30} to lowest terms by extracting and canceling out 10.
x=\frac{82}{3}x
Combine \frac{22}{3}x and 20x to get \frac{82}{3}x.
x-\frac{82}{3}x=0
Subtract \frac{82}{3}x from both sides.
-\frac{79}{3}x=0
Combine x and -\frac{82}{3}x to get -\frac{79}{3}x.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -\frac{79}{3} is not equal to 0, x must be equal to 0.