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Simplifying 6(x + 12) + 3(x + 2) = 0 Reorder the terms: 6(12 + x) + 3(x + 2) = 0 (12 * 6 + x * 6) + 3(x + 2) = 0 (72 + 6x) + 3(x + 2) = 0 Reorder the terms: 72 + 6x + 3(2 + x) = 0 72 + 6x + (2 * 3 + x * 3) = 0 72 + 6x + (6 + 3x) = 0 Reorder the terms: 72 + 6 + 6x + 3x = 0 Combine like terms: 72 + 6 = 78 78 + 6x + 3x = 0 Combine like terms: 6x + 3x = 9x 78 + 9x = 0 Solving 78 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + 9x = 0 + -78 Combine like terms: 78 + -78 = 0 0 + 9x = 0 + -78 9x = 0 + -78 Combine like terms: 0 + -78 = -78 9x = -78 Divide each side by '9'. x = -8.666666667 Simplifying x = -8.666666667
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