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Simplifying 3(x + 4) + 6(x + 2) = 0 Reorder the terms: 3(4 + x) + 6(x + 2) = 0 (4 * 3 + x * 3) + 6(x + 2) = 0 (12 + 3x) + 6(x + 2) = 0 Reorder the terms: 12 + 3x + 6(2 + x) = 0 12 + 3x + (2 * 6 + x * 6) = 0 12 + 3x + (12 + 6x) = 0 Reorder the terms: 12 + 12 + 3x + 6x = 0 Combine like terms: 12 + 12 = 24 24 + 3x + 6x = 0 Combine like terms: 3x + 6x = 9x 24 + 9x = 0 Solving 24 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 9x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = 0 + -24 9x = 0 + -24 Combine like terms: 0 + -24 = -24 9x = -24 Divide each side by '9'. x = -2.666666667 Simplifying x = -2.666666667
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