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75x-\frac{1}{11}=2
Reduce the fraction \frac{2}{22} to lowest terms by extracting and canceling out 2.
75x=2+\frac{1}{11}
Add \frac{1}{11} to both sides.
75x=\frac{22}{11}+\frac{1}{11}
Convert 2 to fraction \frac{22}{11}.
75x=\frac{22+1}{11}
Since \frac{22}{11} and \frac{1}{11} have the same denominator, add them by adding their numerators.
75x=\frac{23}{11}
Add 22 and 1 to get 23.
x=\frac{\frac{23}{11}}{75}
Divide both sides by 75.
x=\frac{23}{11\times 75}
Express \frac{\frac{23}{11}}{75} as a single fraction.
x=\frac{23}{825}
Multiply 11 and 75 to get 825.