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Simplifying 0.2(20 + -5x) = 0.5(6x + 14) + -3x (20 * 0.2 + -5x * 0.2) = 0.5(6x + 14) + -3x (4 + -1x) = 0.5(6x + 14) + -3x Reorder the terms: 4 + -1x = 0.5(14 + 6x) + -3x 4 + -1x = (14 * 0.5 + 6x * 0.5) + -3x 4 + -1x = (7 + 3x) + -3x Combine like terms: 3x + -3x = 0 4 + -1x = 7 + 0 4 + -1x = 7 Solving 4 + -1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 7 + -4 -1x = 7 + -4 Combine like terms: 7 + -4 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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