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100x+10x=10\times 174
Multiply both sides of the equation by 100, the least common multiple of 100,10.
110x=10\times 174
Combine 100x and 10x to get 110x.
110x=1740
Multiply 10 and 174 to get 1740.
x=\frac{1740}{110}
Divide both sides by 110.
x=\frac{174}{11}
Reduce the fraction \frac{1740}{110} to lowest terms by extracting and canceling out 10.