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5.5x=34.55+7.8
Add 7.8 to both sides.
5.5x=42.35
Add 34.55 and 7.8 to get 42.35.
x=\frac{42.35}{5.5}
Divide both sides by 5.5.
x=\frac{4235}{550}
Expand \frac{42.35}{5.5} by multiplying both numerator and the denominator by 100.
x=\frac{77}{10}
Reduce the fraction \frac{4235}{550} to lowest terms by extracting and canceling out 55.