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Simplifying -5(2x + -4) = 2x + -2(-15 + -4x) Reorder the terms: -5(-4 + 2x) = 2x + -2(-15 + -4x) (-4 * -5 + 2x * -5) = 2x + -2(-15 + -4x) (20 + -10x) = 2x + -2(-15 + -4x) 20 + -10x = 2x + (-15 * -2 + -4x * -2) 20 + -10x = 2x + (30 + 8x) Reorder the terms: 20 + -10x = 30 + 2x + 8x Combine like terms: 2x + 8x = 10x 20 + -10x = 30 + 10x Solving 20 + -10x = 30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 20 + -10x + -10x = 30 + 10x + -10x Combine like terms: -10x + -10x = -20x 20 + -20x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + -20x = 30 + 0 20 + -20x = 30 Add '-20' to each side of the equation. 20 + -20 + -20x = 30 + -20 Combine like terms: 20 + -20 = 0 0 + -20x = 30 + -20 -20x = 30 + -20 Combine like terms: 30 + -20 = 10 -20x = 10 Divide each side by '-20'. x = -0.5 Simplifying x = -0.5
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