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1.3x+0.3=0.4
Combine x and 0.3x to get 1.3x.
1.3x=0.4-0.3
Subtract 0.3 from both sides.
1.3x=0.1
Subtract 0.3 from 0.4 to get 0.1.
x=\frac{0.1}{1.3}
Divide both sides by 1.3.
x=\frac{1}{13}
Expand \frac{0.1}{1.3} by multiplying both numerator and the denominator by 10.