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-13.5x+261.5=150
Swap sides so that all variable terms are on the left hand side.
-13.5x=150-261.5
Subtract 261.5 from both sides.
-13.5x=-111.5
Subtract 261.5 from 150 to get -111.5.
x=\frac{-111.5}{-13.5}
Divide both sides by -13.5.
x=\frac{-1115}{-135}
Expand \frac{-111.5}{-13.5} by multiplying both numerator and the denominator by 10.
x=\frac{223}{27}
Reduce the fraction \frac{-1115}{-135} to lowest terms by extracting and canceling out -5.