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60.69=1.4\left(0.4x+90-60\right)
Add 0.69 and 60 to get 60.69.
60.69=1.4\left(0.4x+30\right)
Subtract 60 from 90 to get 30.
60.69=0.56x+42
Use the distributive property to multiply 1.4 by 0.4x+30.
0.56x+42=60.69
Swap sides so that all variable terms are on the left hand side.
0.56x=60.69-42
Subtract 42 from both sides.
0.56x=18.69
Subtract 42 from 60.69 to get 18.69.
x=\frac{18.69}{0.56}
Divide both sides by 0.56.
x=\frac{1869}{56}
Expand \frac{18.69}{0.56} by multiplying both numerator and the denominator by 100.
x=\frac{267}{8}
Reduce the fraction \frac{1869}{56} to lowest terms by extracting and canceling out 7.