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Simplifying 4(3x + 1) + 6(x + 3) = 0 Reorder the terms: 4(1 + 3x) + 6(x + 3) = 0 (1 * 4 + 3x * 4) + 6(x + 3) = 0 (4 + 12x) + 6(x + 3) = 0 Reorder the terms: 4 + 12x + 6(3 + x) = 0 4 + 12x + (3 * 6 + x * 6) = 0 4 + 12x + (18 + 6x) = 0 Reorder the terms: 4 + 18 + 12x + 6x = 0 Combine like terms: 4 + 18 = 22 22 + 12x + 6x = 0 Combine like terms: 12x + 6x = 18x 22 + 18x = 0 Solving 22 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 18x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 18x = 0 + -22 18x = 0 + -22 Combine like terms: 0 + -22 = -22 18x = -22 Divide each side by '18'. x = -1.222222222 Simplifying x = -1.222222222
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