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Simplifying 5(4x + -2) + -20(3x + -1) = -5 Reorder the terms: 5(-2 + 4x) + -20(3x + -1) = -5 (-2 * 5 + 4x * 5) + -20(3x + -1) = -5 (-10 + 20x) + -20(3x + -1) = -5 Reorder the terms: -10 + 20x + -20(-1 + 3x) = -5 -10 + 20x + (-1 * -20 + 3x * -20) = -5 -10 + 20x + (20 + -60x) = -5 Reorder the terms: -10 + 20 + 20x + -60x = -5 Combine like terms: -10 + 20 = 10 10 + 20x + -60x = -5 Combine like terms: 20x + -60x = -40x 10 + -40x = -5 Solving 10 + -40x = -5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -40x = -5 + -10 Combine like terms: 10 + -10 = 0 0 + -40x = -5 + -10 -40x = -5 + -10 Combine like terms: -5 + -10 = -15 -40x = -15 Divide each side by '-40'. x = 0.375 Simplifying x = 0.375
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