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Simplifying 6(3 + x) + 2(4x + 1) = 0 (3 * 6 + x * 6) + 2(4x + 1) = 0 (18 + 6x) + 2(4x + 1) = 0 Reorder the terms: 18 + 6x + 2(1 + 4x) = 0 18 + 6x + (1 * 2 + 4x * 2) = 0 18 + 6x + (2 + 8x) = 0 Reorder the terms: 18 + 2 + 6x + 8x = 0 Combine like terms: 18 + 2 = 20 20 + 6x + 8x = 0 Combine like terms: 6x + 8x = 14x 20 + 14x = 0 Solving 20 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 14x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 14x = 0 + -20 14x = 0 + -20 Combine like terms: 0 + -20 = -20 14x = -20 Divide each side by '14'. x = -1.428571429 Simplifying x = -1.428571429
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