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1.5x+1.2x=38-x
Multiply 1.5 and 0.8 to get 1.2.
2.7x=38-x
Combine 1.5x and 1.2x to get 2.7x.
2.7x+x=38
Add x to both sides.
3.7x=38
Combine 2.7x and x to get 3.7x.
x=\frac{38}{3.7}
Divide both sides by 3.7.
x=\frac{380}{37}
Expand \frac{38}{3.7} by multiplying both numerator and the denominator by 10.