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5.59296\left(x-22\right)=652
Multiply 14.4 and 0.3884 to get 5.59296.
5.59296x-123.04512=652
Use the distributive property to multiply 5.59296 by x-22.
5.59296x=652+123.04512
Add 123.04512 to both sides.
5.59296x=775.04512
Add 652 and 123.04512 to get 775.04512.
x=\frac{775.04512}{5.59296}
Divide both sides by 5.59296.
x=\frac{77504512}{559296}
Expand \frac{775.04512}{5.59296} by multiplying both numerator and the denominator by 100000.
x=\frac{1211008}{8739}
Reduce the fraction \frac{77504512}{559296} to lowest terms by extracting and canceling out 64.