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Simplifying 1800 + (x + -1) * 120 = 2500 + (x + -1) * 100 Reorder the terms: 1800 + (-1 + x) * 120 = 2500 + (x + -1) * 100 Reorder the terms for easier multiplication: 1800 + 120(-1 + x) = 2500 + (x + -1) * 100 1800 + (-1 * 120 + x * 120) = 2500 + (x + -1) * 100 1800 + (-120 + 120x) = 2500 + (x + -1) * 100 Combine like terms: 1800 + -120 = 1680 1680 + 120x = 2500 + (x + -1) * 100 Reorder the terms: 1680 + 120x = 2500 + (-1 + x) * 100 Reorder the terms for easier multiplication: 1680 + 120x = 2500 + 100(-1 + x) 1680 + 120x = 2500 + (-1 * 100 + x * 100) 1680 + 120x = 2500 + (-100 + 100x) Combine like terms: 2500 + -100 = 2400 1680 + 120x = 2400 + 100x Solving 1680 + 120x = 2400 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. 1680 + 120x + -100x = 2400 + 100x + -100x Combine like terms: 120x + -100x = 20x 1680 + 20x = 2400 + 100x + -100x Combine like terms: 100x + -100x = 0 1680 + 20x = 2400 + 0 1680 + 20x = 2400 Add '-1680' to each side of the equation. 1680 + -1680 + 20x = 2400 + -1680 Combine like terms: 1680 + -1680 = 0 0 + 20x = 2400 + -1680 20x = 2400 + -1680 Combine like terms: 2400 + -1680 = 720 20x = 720 Divide each side by '20'. x = 36 Simplifying x = 36
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