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Simplifying 3[4 + -2(x + -2)] = 3(2 + -4x) Reorder the terms: 3[4 + -2(-2 + x)] = 3(2 + -4x) 3[4 + (-2 * -2 + x * -2)] = 3(2 + -4x) 3[4 + (4 + -2x)] = 3(2 + -4x) Combine like terms: 4 + 4 = 8 3[8 + -2x] = 3(2 + -4x) [8 * 3 + -2x * 3] = 3(2 + -4x) [24 + -6x] = 3(2 + -4x) 24 + -6x = (2 * 3 + -4x * 3) 24 + -6x = (6 + -12x) Solving 24 + -6x = 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. 24 + -6x + 12x = 6 + -12x + 12x Combine like terms: -6x + 12x = 6x 24 + 6x = 6 + -12x + 12x Combine like terms: -12x + 12x = 0 24 + 6x = 6 + 0 24 + 6x = 6 Add '-24' to each side of the equation. 24 + -24 + 6x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 6 + -24 6x = 6 + -24 Combine like terms: 6 + -24 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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