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Simplifying 6(3x + 8) + 32 + 12x = 0 Reorder the terms: 6(8 + 3x) + 32 + 12x = 0 (8 * 6 + 3x * 6) + 32 + 12x = 0 (48 + 18x) + 32 + 12x = 0 Reorder the terms: 48 + 32 + 18x + 12x = 0 Combine like terms: 48 + 32 = 80 80 + 18x + 12x = 0 Combine like terms: 18x + 12x = 30x 80 + 30x = 0 Solving 80 + 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 30x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + 30x = 0 + -80 30x = 0 + -80 Combine like terms: 0 + -80 = -80 30x = -80 Divide each side by '30'. x = -2.666666667 Simplifying x = -2.666666667
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