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Simplifying 30(20x + -100) = 40(50x + 100) Reorder the terms: 30(-100 + 20x) = 40(50x + 100) (-100 * 30 + 20x * 30) = 40(50x + 100) (-3000 + 600x) = 40(50x + 100) Reorder the terms: -3000 + 600x = 40(100 + 50x) -3000 + 600x = (100 * 40 + 50x * 40) -3000 + 600x = (4000 + 2000x) Solving -3000 + 600x = 4000 + 2000x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2000x' to each side of the equation. -3000 + 600x + -2000x = 4000 + 2000x + -2000x Combine like terms: 600x + -2000x = -1400x -3000 + -1400x = 4000 + 2000x + -2000x Combine like terms: 2000x + -2000x = 0 -3000 + -1400x = 4000 + 0 -3000 + -1400x = 4000 Add '3000' to each side of the equation. -3000 + 3000 + -1400x = 4000 + 3000 Combine like terms: -3000 + 3000 = 0 0 + -1400x = 4000 + 3000 -1400x = 4000 + 3000 Combine like terms: 4000 + 3000 = 7000 -1400x = 7000 Divide each side by '-1400'. x = -5 Simplifying x = -5
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