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Simplifying (0.5x + 30) * 140 = (0.5x + 30) * 85 Reorder the terms: (30 + 0.5x) * 140 = (0.5x + 30) * 85 Reorder the terms for easier multiplication: 140(30 + 0.5x) = (0.5x + 30) * 85 (30 * 140 + 0.5x * 140) = (0.5x + 30) * 85 (4200 + 70x) = (0.5x + 30) * 85 Reorder the terms: 4200 + 70x = (30 + 0.5x) * 85 Reorder the terms for easier multiplication: 4200 + 70x = 85(30 + 0.5x) 4200 + 70x = (30 * 85 + 0.5x * 85) 4200 + 70x = (2550 + 42.5x) Solving 4200 + 70x = 2550 + 42.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42.5x' to each side of the equation. 4200 + 70x + -42.5x = 2550 + 42.5x + -42.5x Combine like terms: 70x + -42.5x = 27.5x 4200 + 27.5x = 2550 + 42.5x + -42.5x Combine like terms: 42.5x + -42.5x = 0.0 4200 + 27.5x = 2550 + 0.0 4200 + 27.5x = 2550 Add '-4200' to each side of the equation. 4200 + -4200 + 27.5x = 2550 + -4200 Combine like terms: 4200 + -4200 = 0 0 + 27.5x = 2550 + -4200 27.5x = 2550 + -4200 Combine like terms: 2550 + -4200 = -1650 27.5x = -1650 Divide each side by '27.5'. x = -60 Simplifying x = -60
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