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Simplifying 2(3x + 4) + 8x + 6 = 0 Reorder the terms: 2(4 + 3x) + 8x + 6 = 0 (4 * 2 + 3x * 2) + 8x + 6 = 0 (8 + 6x) + 8x + 6 = 0 Reorder the terms: 8 + 6 + 6x + 8x = 0 Combine like terms: 8 + 6 = 14 14 + 6x + 8x = 0 Combine like terms: 6x + 8x = 14x 14 + 14x = 0 Solving 14 + 14x = 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 + 14x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 14x = 0 + -14 14x = 0 + -14 Combine like terms: 0 + -14 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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