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10.6x=420-414
Subtract 414 from both sides.
10.6x=6
Subtract 414 from 420 to get 6.
x=\frac{6}{10.6}
Divide both sides by 10.6.
x=\frac{60}{106}
Expand \frac{6}{10.6} by multiplying both numerator and the denominator by 10.
x=\frac{30}{53}
Reduce the fraction \frac{60}{106} to lowest terms by extracting and canceling out 2.