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Simplifying 4(2x + 4) + 5(4x + 3) = 0 Reorder the terms: 4(4 + 2x) + 5(4x + 3) = 0 (4 * 4 + 2x * 4) + 5(4x + 3) = 0 (16 + 8x) + 5(4x + 3) = 0 Reorder the terms: 16 + 8x + 5(3 + 4x) = 0 16 + 8x + (3 * 5 + 4x * 5) = 0 16 + 8x + (15 + 20x) = 0 Reorder the terms: 16 + 15 + 8x + 20x = 0 Combine like terms: 16 + 15 = 31 31 + 8x + 20x = 0 Combine like terms: 8x + 20x = 28x 31 + 28x = 0 Solving 31 + 28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 28x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 28x = 0 + -31 28x = 0 + -31 Combine like terms: 0 + -31 = -31 28x = -31 Divide each side by '28'. x = -1.107142857 Simplifying x = -1.107142857
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