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Simplifying 120000 = x * 50 + (x + 40) * 50 + (x + 80) * 50 Reorder the terms for easier multiplication: 120000 = 50x + (x + 40) * 50 + (x + 80) * 50 Reorder the terms: 120000 = 50x + (40 + x) * 50 + (x + 80) * 50 Reorder the terms for easier multiplication: 120000 = 50x + 50(40 + x) + (x + 80) * 50 120000 = 50x + (40 * 50 + x * 50) + (x + 80) * 50 120000 = 50x + (2000 + 50x) + (x + 80) * 50 Reorder the terms: 120000 = 50x + 2000 + 50x + (80 + x) * 50 Reorder the terms for easier multiplication: 120000 = 50x + 2000 + 50x + 50(80 + x) 120000 = 50x + 2000 + 50x + (80 * 50 + x * 50) 120000 = 50x + 2000 + 50x + (4000 + 50x) Reorder the terms: 120000 = 2000 + 4000 + 50x + 50x + 50x Combine like terms: 2000 + 4000 = 6000 120000 = 6000 + 50x + 50x + 50x Combine like terms: 50x + 50x = 100x 120000 = 6000 + 100x + 50x Combine like terms: 100x + 50x = 150x 120000 = 6000 + 150x Solving 120000 = 6000 + 150x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-150x' to each side of the equation. 120000 + -150x = 6000 + 150x + -150x Combine like terms: 150x + -150x = 0 120000 + -150x = 6000 + 0 120000 + -150x = 6000 Add '-120000' to each side of the equation. 120000 + -120000 + -150x = 6000 + -120000 Combine like terms: 120000 + -120000 = 0 0 + -150x = 6000 + -120000 -150x = 6000 + -120000 Combine like terms: 6000 + -120000 = -114000 -150x = -114000 Divide each side by '-150'. x = 760 Simplifying x = 760
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