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Simplifying -5(-4x + -2) = -2(3 + 6x) Reorder the terms: -5(-2 + -4x) = -2(3 + 6x) (-2 * -5 + -4x * -5) = -2(3 + 6x) (10 + 20x) = -2(3 + 6x) 10 + 20x = (3 * -2 + 6x * -2) 10 + 20x = (-6 + -12x) Solving 10 + 20x = -6 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 10 + 20x + 12x = -6 + -12x + 12x Combine like terms: 20x + 12x = 32x 10 + 32x = -6 + -12x + 12x Combine like terms: -12x + 12x = 0 10 + 32x = -6 + 0 10 + 32x = -6 Add '-10' to each side of the equation. 10 + -10 + 32x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 32x = -6 + -10 32x = -6 + -10 Combine like terms: -6 + -10 = -16 32x = -16 Divide each side by '32'. x = -0.5 Simplifying x = -0.5
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