Solve for x
x\leq 50
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700x+10000-100x\leq 40000
Use the distributive property to multiply 100 by 100-x.
600x+10000\leq 40000
Combine 700x and -100x to get 600x.
600x\leq 40000-10000
Subtract 10000 from both sides.
600x\leq 30000
Subtract 10000 from 40000 to get 30000.
x\leq \frac{30000}{600}
Divide both sides by 600. Since 600 is positive, the inequality direction remains the same.
x\leq 50
Divide 30000 by 600 to get 50.
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