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x=\frac{55}{10}+\frac{116}{10}
Least common multiple of 2 and 5 is 10. Convert \frac{11}{2} and \frac{58}{5} to fractions with denominator 10.
x=\frac{55+116}{10}
Since \frac{55}{10} and \frac{116}{10} have the same denominator, add them by adding their numerators.
x=\frac{171}{10}
Add 55 and 116 to get 171.