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Simplifying 5(5x + 3) + 4(3x + 2) = 0 Reorder the terms: 5(3 + 5x) + 4(3x + 2) = 0 (3 * 5 + 5x * 5) + 4(3x + 2) = 0 (15 + 25x) + 4(3x + 2) = 0 Reorder the terms: 15 + 25x + 4(2 + 3x) = 0 15 + 25x + (2 * 4 + 3x * 4) = 0 15 + 25x + (8 + 12x) = 0 Reorder the terms: 15 + 8 + 25x + 12x = 0 Combine like terms: 15 + 8 = 23 23 + 25x + 12x = 0 Combine like terms: 25x + 12x = 37x 23 + 37x = 0 Solving 23 + 37x = 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 + 37x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 37x = 0 + -23 37x = 0 + -23 Combine like terms: 0 + -23 = -23 37x = -23 Divide each side by '37'. x = -0.6216216216 Simplifying x = -0.6216216216
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