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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 = -8x 10 + -8x = -6 + -12x + 12x Combine like terms: -12x + 12x = 0 10 + -8x = -6 + 0 10 + -8x = -6 Add '-10' to each side of the equation. 10 + -10 + -8x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -6 + -10 -8x = -6 + -10 Combine like terms: -6 + -10 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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