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5.6x=4.4\times 100
Multiply both sides by 100.
5.6x=440
Multiply 4.4 and 100 to get 440.
x=\frac{440}{5.6}
Divide both sides by 5.6.
x=\frac{4400}{56}
Expand \frac{440}{5.6} by multiplying both numerator and the denominator by 10.
x=\frac{550}{7}
Reduce the fraction \frac{4400}{56} to lowest terms by extracting and canceling out 8.