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x=\frac{361}{684}-\frac{324}{684}
Least common multiple of 36 and 19 is 684. Convert \frac{19}{36} and \frac{9}{19} to fractions with denominator 684.
x=\frac{361-324}{684}
Since \frac{361}{684} and \frac{324}{684} have the same denominator, subtract them by subtracting their numerators.
x=\frac{37}{684}
Subtract 324 from 361 to get 37.