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2.9x=7.1+17.55
Add 17.55 to both sides.
2.9x=24.65
Add 7.1 and 17.55 to get 24.65.
x=\frac{24.65}{2.9}
Divide both sides by 2.9.
x=\frac{2465}{290}
Expand \frac{24.65}{2.9} by multiplying both numerator and the denominator by 100.
x=\frac{17}{2}
Reduce the fraction \frac{2465}{290} to lowest terms by extracting and canceling out 145.