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Simplifying 3(x + 4) + 5x + 2 = 0 Reorder the terms: 3(4 + x) + 5x + 2 = 0 (4 * 3 + x * 3) + 5x + 2 = 0 (12 + 3x) + 5x + 2 = 0 Reorder the terms: 12 + 2 + 3x + 5x = 0 Combine like terms: 12 + 2 = 14 14 + 3x + 5x = 0 Combine like terms: 3x + 5x = 8x 14 + 8x = 0 Solving 14 + 8x = 0 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 + 8x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = 0 + -14 8x = 0 + -14 Combine like terms: 0 + -14 = -14 8x = -14 Divide each side by '8'. x = -1.75 Simplifying x = -1.75
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