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Simplifying 0.5(480 + 240X) = -3X + -6 (480 * 0.5 + 240X * 0.5) = -3X + -6 (240 + 120X) = -3X + -6 Reorder the terms: 240 + 120X = -6 + -3X Solving 240 + 120X = -6 + -3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3X' to each side of the equation. 240 + 120X + 3X = -6 + -3X + 3X Combine like terms: 120X + 3X = 123X 240 + 123X = -6 + -3X + 3X Combine like terms: -3X + 3X = 0 240 + 123X = -6 + 0 240 + 123X = -6 Add '-240' to each side of the equation. 240 + -240 + 123X = -6 + -240 Combine like terms: 240 + -240 = 0 0 + 123X = -6 + -240 123X = -6 + -240 Combine like terms: -6 + -240 = -246 123X = -246 Divide each side by '123'. X = -2 Simplifying X = -2
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