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x=2000+0.4x
Combine 0.3x and 0.1x to get 0.4x.
x-0.4x=2000
Subtract 0.4x from both sides.
0.6x=2000
Combine x and -0.4x to get 0.6x.
x=\frac{2000}{0.6}
Divide both sides by 0.6.
x=\frac{20000}{6}
Expand \frac{2000}{0.6} by multiplying both numerator and the denominator by 10.
x=\frac{10000}{3}
Reduce the fraction \frac{20000}{6} to lowest terms by extracting and canceling out 2.