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x=\frac{4}{7}+\frac{5}{6}
Add \frac{5}{6} to both sides.
x=\frac{24}{42}+\frac{35}{42}
Least common multiple of 7 and 6 is 42. Convert \frac{4}{7} and \frac{5}{6} to fractions with denominator 42.
x=\frac{24+35}{42}
Since \frac{24}{42} and \frac{35}{42} have the same denominator, add them by adding their numerators.
x=\frac{59}{42}
Add 24 and 35 to get 59.