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Simplifying 4(6x + 3) + 3(x + 2) = 0 Reorder the terms: 4(3 + 6x) + 3(x + 2) = 0 (3 * 4 + 6x * 4) + 3(x + 2) = 0 (12 + 24x) + 3(x + 2) = 0 Reorder the terms: 12 + 24x + 3(2 + x) = 0 12 + 24x + (2 * 3 + x * 3) = 0 12 + 24x + (6 + 3x) = 0 Reorder the terms: 12 + 6 + 24x + 3x = 0 Combine like terms: 12 + 6 = 18 18 + 24x + 3x = 0 Combine like terms: 24x + 3x = 27x 18 + 27x = 0 Solving 18 + 27x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 27x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 27x = 0 + -18 27x = 0 + -18 Combine like terms: 0 + -18 = -18 27x = -18 Divide each side by '27'. x = -0.6666666667 Simplifying x = -0.6666666667
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