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Simplifying 3(5x + 3) + 5(4x + -9) = 0 Reorder the terms: 3(3 + 5x) + 5(4x + -9) = 0 (3 * 3 + 5x * 3) + 5(4x + -9) = 0 (9 + 15x) + 5(4x + -9) = 0 Reorder the terms: 9 + 15x + 5(-9 + 4x) = 0 9 + 15x + (-9 * 5 + 4x * 5) = 0 9 + 15x + (-45 + 20x) = 0 Reorder the terms: 9 + -45 + 15x + 20x = 0 Combine like terms: 9 + -45 = -36 -36 + 15x + 20x = 0 Combine like terms: 15x + 20x = 35x -36 + 35x = 0 Solving -36 + 35x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 35x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 35x = 0 + 36 35x = 0 + 36 Combine like terms: 0 + 36 = 36 35x = 36 Divide each side by '35'. x = 1.028571429 Simplifying x = 1.028571429
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