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Simplifying 20(3x + 1) = -50(5 + -1x) Reorder the terms: 20(1 + 3x) = -50(5 + -1x) (1 * 20 + 3x * 20) = -50(5 + -1x) (20 + 60x) = -50(5 + -1x) 20 + 60x = (5 * -50 + -1x * -50) 20 + 60x = (-250 + 50x) Solving 20 + 60x = -250 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 20 + 60x + -50x = -250 + 50x + -50x Combine like terms: 60x + -50x = 10x 20 + 10x = -250 + 50x + -50x Combine like terms: 50x + -50x = 0 20 + 10x = -250 + 0 20 + 10x = -250 Add '-20' to each side of the equation. 20 + -20 + 10x = -250 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = -250 + -20 10x = -250 + -20 Combine like terms: -250 + -20 = -270 10x = -270 Divide each side by '10'. x = -27 Simplifying x = -27
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