Solve for x
x\leq \frac{553}{17}
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300x+337.5x+562.5\leq 21300
Use the distributive property to multiply 112.5 by 3x+5.
637.5x+562.5\leq 21300
Combine 300x and 337.5x to get 637.5x.
637.5x\leq 21300-562.5
Subtract 562.5 from both sides.
637.5x\leq 20737.5
Subtract 562.5 from 21300 to get 20737.5.
x\leq \frac{20737.5}{637.5}
Divide both sides by 637.5. Since 637.5 is positive, the inequality direction remains the same.
x\leq \frac{207375}{6375}
Expand \frac{20737.5}{637.5} by multiplying both numerator and the denominator by 10.
x\leq \frac{553}{17}
Reduce the fraction \frac{207375}{6375} to lowest terms by extracting and canceling out 375.
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