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100x+400+20x\leq 1000
Use the distributive property to multiply 50 by 2x+8.
120x+400\leq 1000
Combine 100x and 20x to get 120x.
120x\leq 1000-400
Subtract 400 from both sides.
120x\leq 600
Subtract 400 from 1000 to get 600.
x\leq \frac{600}{120}
Divide both sides by 120. Since 120 is positive, the inequality direction remains the same.
x\leq 5
Divide 600 by 120 to get 5.