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x+6=\frac{42}{9}
Divide both sides by 9.
x+6=\frac{14}{3}
Reduce the fraction \frac{42}{9} to lowest terms by extracting and canceling out 3.
x=\frac{14}{3}-6
Subtract 6 from both sides.
x=\frac{14}{3}-\frac{18}{3}
Convert 6 to fraction \frac{18}{3}.
x=\frac{14-18}{3}
Since \frac{14}{3} and \frac{18}{3} have the same denominator, subtract them by subtracting their numerators.
x=-\frac{4}{3}
Subtract 18 from 14 to get -4.