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3.8x=2.25+3.45
Add 3.45 to both sides.
3.8x=5.7
Add 2.25 and 3.45 to get 5.7.
x=\frac{5.7}{3.8}
Divide both sides by 3.8.
x=\frac{57}{38}
Expand \frac{5.7}{3.8} by multiplying both numerator and the denominator by 10.
x=\frac{3}{2}
Reduce the fraction \frac{57}{38} to lowest terms by extracting and canceling out 19.