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\frac{1}{2}x-6x=-360
Subtract 6x from both sides.
-\frac{11}{2}x=-360
Combine \frac{1}{2}x and -6x to get -\frac{11}{2}x.
x=-360\left(-\frac{2}{11}\right)
Multiply both sides by -\frac{2}{11}, the reciprocal of -\frac{11}{2}.
x=\frac{-360\left(-2\right)}{11}
Express -360\left(-\frac{2}{11}\right) as a single fraction.
x=\frac{720}{11}
Multiply -360 and -2 to get 720.