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\frac{-4.5}{-0.5}=x-7.1
Divide both sides by -0.5.
\frac{-45}{-5}=x-7.1
Expand \frac{-4.5}{-0.5} by multiplying both numerator and the denominator by 10.
9=x-7.1
Divide -45 by -5 to get 9.
x-7.1=9
Swap sides so that all variable terms are on the left hand side.
x=9+7.1
Add 7.1 to both sides.
x=16.1
Add 9 and 7.1 to get 16.1.