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400000-40000x+70000x<550000
Use the distributive property to multiply 10-x by 40000.
400000+30000x<550000
Combine -40000x and 70000x to get 30000x.
30000x<550000-400000
Subtract 400000 from both sides.
30000x<150000
Subtract 400000 from 550000 to get 150000.
x<\frac{150000}{30000}
Divide both sides by 30000. Since 30000 is positive, the inequality direction remains the same.
x<5
Divide 150000 by 30000 to get 5.