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Simplifying 4(3x + 2) + 5(9x + 4) = 0 Reorder the terms: 4(2 + 3x) + 5(9x + 4) = 0 (2 * 4 + 3x * 4) + 5(9x + 4) = 0 (8 + 12x) + 5(9x + 4) = 0 Reorder the terms: 8 + 12x + 5(4 + 9x) = 0 8 + 12x + (4 * 5 + 9x * 5) = 0 8 + 12x + (20 + 45x) = 0 Reorder the terms: 8 + 20 + 12x + 45x = 0 Combine like terms: 8 + 20 = 28 28 + 12x + 45x = 0 Combine like terms: 12x + 45x = 57x 28 + 57x = 0 Solving 28 + 57x = 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 + 57x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 57x = 0 + -28 57x = 0 + -28 Combine like terms: 0 + -28 = -28 57x = -28 Divide each side by '57'. x = -0.4912280702 Simplifying x = -0.4912280702
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