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Simplifying (x2 + -1)(x + 3) = (3x + 3)(x + 3) Reorder the terms: (-1 + x2)(x + 3) = (3x + 3)(x + 3) Reorder the terms: (-1 + x2)(3 + x) = (3x + 3)(x + 3) Multiply (-1 + x2) * (3 + x) (-1(3 + x) + x2(3 + x)) = (3x + 3)(x + 3) ((3 * -1 + x * -1) + x2(3 + x)) = (3x + 3)(x + 3) ((-3 + -1x) + x2(3 + x)) = (3x + 3)(x + 3) (-3 + -1x + (3 * x2 + x * x2)) = (3x + 3)(x + 3) (-3 + -1x + (3x2 + x3)) = (3x + 3)(x + 3) (-3 + -1x + 3x2 + x3) = (3x + 3)(x + 3) Reorder the terms: -3 + -1x + 3x2 + x3 = (3 + 3x)(x + 3) Reorder the terms: -3 + -1x + 3x2 + x3 = (3 + 3x)(3 + x) Multiply (3 + 3x) * (3 + x) -3 + -1x + 3x2 + x3 = (3(3 + x) + 3x * (3 + x)) -3 + -1x + 3x2 + x3 = ((3 * 3 + x * 3) + 3x * (3 + x)) -3 + -1x + 3x2 + x3 = ((9 + 3x) + 3x * (3 + x)) -3 + -1x + 3x2 + x3 = (9 + 3x + (3 * 3x + x * 3x)) -3 + -1x + 3x2 + x3 = (9 + 3x + (9x + 3x2)) Combine like terms: 3x + 9x = 12x -3 + -1x + 3x2 + x3 = (9 + 12x + 3x2) Add '-3x2' to each side of the equation. -3 + -1x + 3x2 + -3x2 + x3 = 9 + 12x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -3 + -1x + 0 + x3 = 9 + 12x + 3x2 + -3x2 -3 + -1x + x3 = 9 + 12x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -3 + -1x + x3 = 9 + 12x + 0 -3 + -1x + x3 = 9 + 12x Solving -3 + -1x + x3 = 9 + 12x Solving for variable 'x'. Reorder the terms: -3 + -9 + -1x + -12x + x3 = 9 + 12x + -9 + -12x Combine like terms: -3 + -9 = -12 -12 + -1x + -12x + x3 = 9 + 12x + -9 + -12x Combine like terms: -1x + -12x = -13x -12 + -13x + x3 = 9 + 12x + -9 + -12x Reorder the terms: -12 + -13x + x3 = 9 + -9 + 12x + -12x Combine like terms: 9 + -9 = 0 -12 + -13x + x3 = 0 + 12x + -12x -12 + -13x + x3 = 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -13x + x3 = 0 The solution to this equation could not be determined.
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