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-20=-0.5\left(x-7.1\right)
Multiply -4 and 5 to get -20.
-20=-0.5x+3.55
Use the distributive property to multiply -0.5 by x-7.1.
-0.5x+3.55=-20
Swap sides so that all variable terms are on the left hand side.
-0.5x=-20-3.55
Subtract 3.55 from both sides.
-0.5x=-23.55
Subtract 3.55 from -20 to get -23.55.
x=\frac{-23.55}{-0.5}
Divide both sides by -0.5.
x=\frac{-2355}{-50}
Expand \frac{-23.55}{-0.5} by multiplying both numerator and the denominator by 100.
x=\frac{471}{10}
Reduce the fraction \frac{-2355}{-50} to lowest terms by extracting and canceling out -5.