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x+\frac{2\left(-1\right)}{7}=1
Express 2\left(-\frac{1}{7}\right) as a single fraction.
x+\frac{-2}{7}=1
Multiply 2 and -1 to get -2.
x-\frac{2}{7}=1
Fraction \frac{-2}{7} can be rewritten as -\frac{2}{7} by extracting the negative sign.
x=1+\frac{2}{7}
Add \frac{2}{7} to both sides.
x=\frac{7}{7}+\frac{2}{7}
Convert 1 to fraction \frac{7}{7}.
x=\frac{7+2}{7}
Since \frac{7}{7} and \frac{2}{7} have the same denominator, add them by adding their numerators.
x=\frac{9}{7}
Add 7 and 2 to get 9.