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Simplifying 4(3x + 2) + -1[3 + -3(2x + -1)] = -16 Reorder the terms: 4(2 + 3x) + -1[3 + -3(2x + -1)] = -16 (2 * 4 + 3x * 4) + -1[3 + -3(2x + -1)] = -16 (8 + 12x) + -1[3 + -3(2x + -1)] = -16 Reorder the terms: 8 + 12x + -1[3 + -3(-1 + 2x)] = -16 8 + 12x + -1[3 + (-1 * -3 + 2x * -3)] = -16 8 + 12x + -1[3 + (3 + -6x)] = -16 Combine like terms: 3 + 3 = 6 8 + 12x + -1[6 + -6x] = -16 8 + 12x + [6 * -1 + -6x * -1] = -16 8 + 12x + [-6 + 6x] = -16 Reorder the terms: 8 + -6 + 12x + 6x = -16 Combine like terms: 8 + -6 = 2 2 + 12x + 6x = -16 Combine like terms: 12x + 6x = 18x 2 + 18x = -16 Solving 2 + 18x = -16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 18x = -16 + -2 Combine like terms: 2 + -2 = 0 0 + 18x = -16 + -2 18x = -16 + -2 Combine like terms: -16 + -2 = -18 18x = -18 Divide each side by '18'. x = -1 Simplifying x = -1
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