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Simplifying 3[-2(x + 4)] = 6(x + 2) Reorder the terms: 3[-2(4 + x)] = 6(x + 2) 3[(4 * -2 + x * -2)] = 6(x + 2) 3[(-8 + -2x)] = 6(x + 2) [-8 * 3 + -2x * 3] = 6(x + 2) [-24 + -6x] = 6(x + 2) Reorder the terms: -24 + -6x = 6(2 + x) -24 + -6x = (2 * 6 + x * 6) -24 + -6x = (12 + 6x) Solving -24 + -6x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -24 + -6x + -6x = 12 + 6x + -6x Combine like terms: -6x + -6x = -12x -24 + -12x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + -12x = 12 + 0 -24 + -12x = 12 Add '24' to each side of the equation. -24 + 24 + -12x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -12x = 12 + 24 -12x = 12 + 24 Combine like terms: 12 + 24 = 36 -12x = 36 Divide each side by '-12'. x = -3 Simplifying x = -3
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