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