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Simplifying 2[x + 8] = -4[5x + -2] + 8x Reorder the terms: 2[8 + x] = -4[5x + -2] + 8x [8 * 2 + x * 2] = -4[5x + -2] + 8x [16 + 2x] = -4[5x + -2] + 8x Reorder the terms: 16 + 2x = -4[-2 + 5x] + 8x 16 + 2x = [-2 * -4 + 5x * -4] + 8x 16 + 2x = [8 + -20x] + 8x Combine like terms: -20x + 8x = -12x 16 + 2x = 8 + -12x Solving 16 + 2x = 8 + -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. 16 + 2x + 12x = 8 + -12x + 12x Combine like terms: 2x + 12x = 14x 16 + 14x = 8 + -12x + 12x Combine like terms: -12x + 12x = 0 16 + 14x = 8 + 0 16 + 14x = 8 Add '-16' to each side of the equation. 16 + -16 + 14x = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 14x = 8 + -16 14x = 8 + -16 Combine like terms: 8 + -16 = -8 14x = -8 Divide each side by '14'. x = -0.5714285714 Simplifying x = -0.5714285714
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