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Simplifying 4(3x + 4) + 6(x + 2) = 0 Reorder the terms: 4(4 + 3x) + 6(x + 2) = 0 (4 * 4 + 3x * 4) + 6(x + 2) = 0 (16 + 12x) + 6(x + 2) = 0 Reorder the terms: 16 + 12x + 6(2 + x) = 0 16 + 12x + (2 * 6 + x * 6) = 0 16 + 12x + (12 + 6x) = 0 Reorder the terms: 16 + 12 + 12x + 6x = 0 Combine like terms: 16 + 12 = 28 28 + 12x + 6x = 0 Combine like terms: 12x + 6x = 18x 28 + 18x = 0 Solving 28 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 18x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 18x = 0 + -28 18x = 0 + -28 Combine like terms: 0 + -28 = -28 18x = -28 Divide each side by '18'. x = -1.555555556 Simplifying x = -1.555555556
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