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Simplifying 3(x + 2) + 2(x + 4) = -1 Reorder the terms: 3(2 + x) + 2(x + 4) = -1 (2 * 3 + x * 3) + 2(x + 4) = -1 (6 + 3x) + 2(x + 4) = -1 Reorder the terms: 6 + 3x + 2(4 + x) = -1 6 + 3x + (4 * 2 + x * 2) = -1 6 + 3x + (8 + 2x) = -1 Reorder the terms: 6 + 8 + 3x + 2x = -1 Combine like terms: 6 + 8 = 14 14 + 3x + 2x = -1 Combine like terms: 3x + 2x = 5x 14 + 5x = -1 Solving 14 + 5x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 5x = -1 + -14 Combine like terms: 14 + -14 = 0 0 + 5x = -1 + -14 5x = -1 + -14 Combine like terms: -1 + -14 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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