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-x=\frac{1}{14}-\frac{15}{7}
Subtract \frac{15}{7} from both sides.
-x=\frac{1}{14}-\frac{30}{14}
Least common multiple of 14 and 7 is 14. Convert \frac{1}{14} and \frac{15}{7} to fractions with denominator 14.
-x=\frac{1-30}{14}
Since \frac{1}{14} and \frac{30}{14} have the same denominator, subtract them by subtracting their numerators.
-x=-\frac{29}{14}
Subtract 30 from 1 to get -29.
x=\frac{29}{14}
Multiply both sides by -1.