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8=\left(-\frac{150}{55}\right)\left(-3\right)+x
Expand \frac{15}{5.5} by multiplying both numerator and the denominator by 10.
8=-\frac{30}{11}\left(-3\right)+x
Reduce the fraction \frac{150}{55} to lowest terms by extracting and canceling out 5.
8=\frac{-30\left(-3\right)}{11}+x
Express -\frac{30}{11}\left(-3\right) as a single fraction.
8=\frac{90}{11}+x
Multiply -30 and -3 to get 90.
\frac{90}{11}+x=8
Swap sides so that all variable terms are on the left hand side.
x=8-\frac{90}{11}
Subtract \frac{90}{11} from both sides.
x=\frac{88}{11}-\frac{90}{11}
Convert 8 to fraction \frac{88}{11}.
x=\frac{88-90}{11}
Since \frac{88}{11} and \frac{90}{11} have the same denominator, subtract them by subtracting their numerators.
x=-\frac{2}{11}
Subtract 90 from 88 to get -2.