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Simplifying 80 = (1 + -1x) * 100 + x * 20 Reorder the terms for easier multiplication: 80 = 100(1 + -1x) + x * 20 80 = (1 * 100 + -1x * 100) + x * 20 80 = (100 + -100x) + x * 20 Reorder the terms for easier multiplication: 80 = 100 + -100x + 20x Combine like terms: -100x + 20x = -80x 80 = 100 + -80x Solving 80 = 100 + -80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '80x' to each side of the equation. 80 + 80x = 100 + -80x + 80x Combine like terms: -80x + 80x = 0 80 + 80x = 100 + 0 80 + 80x = 100 Add '-80' to each side of the equation. 80 + -80 + 80x = 100 + -80 Combine like terms: 80 + -80 = 0 0 + 80x = 100 + -80 80x = 100 + -80 Combine like terms: 100 + -80 = 20 80x = 20 Divide each side by '80'. x = 0.25 Simplifying x = 0.25
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