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Simplifying 0.5(4x + 8) = 0.2(15 + -20x) Reorder the terms: 0.5(8 + 4x) = 0.2(15 + -20x) (8 * 0.5 + 4x * 0.5) = 0.2(15 + -20x) (4 + 2x) = 0.2(15 + -20x) 4 + 2x = (15 * 0.2 + -20x * 0.2) 4 + 2x = (3 + -4x) Solving 4 + 2x = 3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4 + 2x + 4x = 3 + -4x + 4x Combine like terms: 2x + 4x = 6x 4 + 6x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 6x = 3 + 0 4 + 6x = 3 Add '-4' to each side of the equation. 4 + -4 + 6x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 3 + -4 6x = 3 + -4 Combine like terms: 3 + -4 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667
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