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