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44x=111\times 8.8
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 111x, the least common multiple of 111,x.
44x=976.8
Multiply 111 and 8.8 to get 976.8.
x=\frac{976.8}{44}
Divide both sides by 44.
x=\frac{9768}{440}
Expand \frac{976.8}{44} by multiplying both numerator and the denominator by 10.
x=\frac{111}{5}
Reduce the fraction \frac{9768}{440} to lowest terms by extracting and canceling out 88.