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Simplifying 3[x + -2] + 2[x + 1] = -14 Reorder the terms: 3[-2 + x] + 2[x + 1] = -14 [-2 * 3 + x * 3] + 2[x + 1] = -14 [-6 + 3x] + 2[x + 1] = -14 Reorder the terms: -6 + 3x + 2[1 + x] = -14 -6 + 3x + [1 * 2 + x * 2] = -14 -6 + 3x + [2 + 2x] = -14 Reorder the terms: -6 + 2 + 3x + 2x = -14 Combine like terms: -6 + 2 = -4 -4 + 3x + 2x = -14 Combine like terms: 3x + 2x = 5x -4 + 5x = -14 Solving -4 + 5x = -14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5x = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 5x = -14 + 4 5x = -14 + 4 Combine like terms: -14 + 4 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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