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x=2.3\left(-x+24\right)
Variable x cannot be equal to 24 since division by zero is not defined. Multiply both sides of the equation by -x+24.
x=-2.3x+55.2
Use the distributive property to multiply 2.3 by -x+24.
x+2.3x=55.2
Add 2.3x to both sides.
3.3x=55.2
Combine x and 2.3x to get 3.3x.
x=\frac{55.2}{3.3}
Divide both sides by 3.3.
x=\frac{552}{33}
Expand \frac{55.2}{3.3} by multiplying both numerator and the denominator by 10.
x=\frac{184}{11}
Reduce the fraction \frac{552}{33} to lowest terms by extracting and canceling out 3.