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Simplifying 4(2x + 5) + 3(4x + 1) = 0 Reorder the terms: 4(5 + 2x) + 3(4x + 1) = 0 (5 * 4 + 2x * 4) + 3(4x + 1) = 0 (20 + 8x) + 3(4x + 1) = 0 Reorder the terms: 20 + 8x + 3(1 + 4x) = 0 20 + 8x + (1 * 3 + 4x * 3) = 0 20 + 8x + (3 + 12x) = 0 Reorder the terms: 20 + 3 + 8x + 12x = 0 Combine like terms: 20 + 3 = 23 23 + 8x + 12x = 0 Combine like terms: 8x + 12x = 20x 23 + 20x = 0 Solving 23 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 20x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 20x = 0 + -23 20x = 0 + -23 Combine like terms: 0 + -23 = -23 20x = -23 Divide each side by '20'. x = -1.15 Simplifying x = -1.15
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