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Simplifying (x + 8)(x + 3) + -11x = 0 Reorder the terms: (8 + x)(x + 3) + -11x = 0 Reorder the terms: (8 + x)(3 + x) + -11x = 0 Multiply (8 + x) * (3 + x) (8(3 + x) + x(3 + x)) + -11x = 0 ((3 * 8 + x * 8) + x(3 + x)) + -11x = 0 ((24 + 8x) + x(3 + x)) + -11x = 0 (24 + 8x + (3 * x + x * x)) + -11x = 0 (24 + 8x + (3x + x2)) + -11x = 0 Combine like terms: 8x + 3x = 11x (24 + 11x + x2) + -11x = 0 Reorder the terms: 24 + 11x + -11x + x2 = 0 Combine like terms: 11x + -11x = 0 24 + 0 + x2 = 0 24 + x2 = 0 Solving 24 + x2 = 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 + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + x2 = 0 + -24 x2 = 0 + -24 Combine like terms: 0 + -24 = -24 x2 = -24 Simplifying x2 = -24 Reorder the terms: 24 + x2 = -24 + 24 Combine like terms: -24 + 24 = 0 24 + x2 = 0 The solution to this equation could not be determined.
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