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\left(-\frac{11}{6050}\right)x+0.1=0
Expand \frac{1.1}{605} by multiplying both numerator and the denominator by 10.
-\frac{1}{550}x+0.1=0
Reduce the fraction \frac{11}{6050} to lowest terms by extracting and canceling out 11.
-\frac{1}{550}x=-0.1
Subtract 0.1 from both sides. Anything subtracted from zero gives its negation.
x=-0.1\left(-550\right)
Multiply both sides by -550, the reciprocal of -\frac{1}{550}.
x=55
Multiply -0.1 and -550 to get 55.