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Simplifying 4x(-4) + 5(9x + 4) = 0 Reorder the terms for easier multiplication: 4 * -4x + 5(9x + 4) = 0 Multiply 4 * -4 -16x + 5(9x + 4) = 0 Reorder the terms: -16x + 5(4 + 9x) = 0 -16x + (4 * 5 + 9x * 5) = 0 -16x + (20 + 45x) = 0 Reorder the terms: 20 + -16x + 45x = 0 Combine like terms: -16x + 45x = 29x 20 + 29x = 0 Solving 20 + 29x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 29x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 29x = 0 + -20 29x = 0 + -20 Combine like terms: 0 + -20 = -20 29x = -20 Divide each side by '29'. x = -0.6896551724 Simplifying x = -0.6896551724
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