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Simplifying (x + 3)(3x + 8) + -3x(x + 3) = 0 Reorder the terms: (3 + x)(3x + 8) + -3x(x + 3) = 0 Reorder the terms: (3 + x)(8 + 3x) + -3x(x + 3) = 0 Multiply (3 + x) * (8 + 3x) (3(8 + 3x) + x(8 + 3x)) + -3x(x + 3) = 0 ((8 * 3 + 3x * 3) + x(8 + 3x)) + -3x(x + 3) = 0 ((24 + 9x) + x(8 + 3x)) + -3x(x + 3) = 0 (24 + 9x + (8 * x + 3x * x)) + -3x(x + 3) = 0 (24 + 9x + (8x + 3x2)) + -3x(x + 3) = 0 Combine like terms: 9x + 8x = 17x (24 + 17x + 3x2) + -3x(x + 3) = 0 Reorder the terms: 24 + 17x + 3x2 + -3x(3 + x) = 0 24 + 17x + 3x2 + (3 * -3x + x * -3x) = 0 24 + 17x + 3x2 + (-9x + -3x2) = 0 Reorder the terms: 24 + 17x + -9x + 3x2 + -3x2 = 0 Combine like terms: 17x + -9x = 8x 24 + 8x + 3x2 + -3x2 = 0 Combine like terms: 3x2 + -3x2 = 0 24 + 8x + 0 = 0 24 + 8x = 0 Solving 24 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 8x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = 0 + -24 8x = 0 + -24 Combine like terms: 0 + -24 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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