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Simplifying (50) + 0.6x = 0.5(50 + x) 50 + 0.6x = 0.5(50 + x) 50 + 0.6x = (50 * 0.5 + x * 0.5) 50 + 0.6x = (25 + 0.5x) Solving 50 + 0.6x = 25 + 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 = 25 + 0.5x + -0.5x Combine like terms: 0.6x + -0.5x = 0.1x 50 + 0.1x = 25 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 50 + 0.1x = 25 + 0.0 50 + 0.1x = 25 Add '-50' to each side of the equation. 50 + -50 + 0.1x = 25 + -50 Combine like terms: 50 + -50 = 0 0 + 0.1x = 25 + -50 0.1x = 25 + -50 Combine like terms: 25 + -50 = -25 0.1x = -25 Divide each side by '0.1'. x = -250 Simplifying x = -250
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