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Simplifying 50 + 0.6x = 50 + (200 + -1x) * 0.5 Reorder the terms for easier multiplication: 50 + 0.6x = 50 + 0.5(200 + -1x) 50 + 0.6x = 50 + (200 * 0.5 + -1x * 0.5) 50 + 0.6x = 50 + (100 + -0.5x) Combine like terms: 50 + 100 = 150 50 + 0.6x = 150 + -0.5x Solving 50 + 0.6x = 150 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 50 + 0.6x + 0.5x = 150 + -0.5x + 0.5x Combine like terms: 0.6x + 0.5x = 1.1x 50 + 1.1x = 150 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 50 + 1.1x = 150 + 0.0 50 + 1.1x = 150 Add '-50' to each side of the equation. 50 + -50 + 1.1x = 150 + -50 Combine like terms: 50 + -50 = 0 0 + 1.1x = 150 + -50 1.1x = 150 + -50 Combine like terms: 150 + -50 = 100 1.1x = 100 Divide each side by '1.1'. x = 90.90909091 Simplifying x = 90.90909091
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