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\frac{14}{18}+\frac{9}{18}=x
Least common multiple of 9 and 2 is 18. Convert \frac{7}{9} and \frac{1}{2} to fractions with denominator 18.
\frac{14+9}{18}=x
Since \frac{14}{18} and \frac{9}{18} have the same denominator, add them by adding their numerators.
\frac{23}{18}=x
Add 14 and 9 to get 23.
x=\frac{23}{18}
Swap sides so that all variable terms are on the left hand side.