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600-3x\geq x
Use the distributive property to multiply 3 by 200-x.
600-3x-x\geq 0
Subtract x from both sides.
600-4x\geq 0
Combine -3x and -x to get -4x.
-4x\geq -600
Subtract 600 from both sides. Anything subtracted from zero gives its negation.
x\leq \frac{-600}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x\leq 150
Divide -600 by -4 to get 150.