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15x+400-5x\geq 1000
Use the distributive property to multiply 5 by 80-x.
10x+400\geq 1000
Combine 15x and -5x to get 10x.
10x\geq 1000-400
Subtract 400 from both sides.
10x\geq 600
Subtract 400 from 1000 to get 600.
x\geq \frac{600}{10}
Divide both sides by 10. Since 10 is positive, the inequality direction remains the same.
x\geq 60
Divide 600 by 10 to get 60.