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Simplifying (x + 1)(x + 3)(x + -4) = 48 Reorder the terms: (1 + x)(x + 3)(x + -4) = 48 Reorder the terms: (1 + x)(3 + x)(x + -4) = 48 Reorder the terms: (1 + x)(3 + x)(-4 + x) = 48 Multiply (1 + x) * (3 + x) (1(3 + x) + x(3 + x))(-4 + x) = 48 ((3 * 1 + x * 1) + x(3 + x))(-4 + x) = 48 ((3 + 1x) + x(3 + x))(-4 + x) = 48 (3 + 1x + (3 * x + x * x))(-4 + x) = 48 (3 + 1x + (3x + x2))(-4 + x) = 48 Combine like terms: 1x + 3x = 4x (3 + 4x + x2)(-4 + x) = 48 Multiply (3 + 4x + x2) * (-4 + x) (3(-4 + x) + 4x * (-4 + x) + x2(-4 + x)) = 48 ((-4 * 3 + x * 3) + 4x * (-4 + x) + x2(-4 + x)) = 48 ((-12 + 3x) + 4x * (-4 + x) + x2(-4 + x)) = 48 (-12 + 3x + (-4 * 4x + x * 4x) + x2(-4 + x)) = 48 (-12 + 3x + (-16x + 4x2) + x2(-4 + x)) = 48 (-12 + 3x + -16x + 4x2 + (-4 * x2 + x * x2)) = 48 (-12 + 3x + -16x + 4x2 + (-4x2 + x3)) = 48 Combine like terms: 3x + -16x = -13x (-12 + -13x + 4x2 + -4x2 + x3) = 48 Combine like terms: 4x2 + -4x2 = 0 (-12 + -13x + 0 + x3) = 48 (-12 + -13x + x3) = 48 Solving -12 + -13x + x3 = 48 Solving for variable 'x'. Reorder the terms: -12 + -48 + -13x + x3 = 48 + -48 Combine like terms: -12 + -48 = -60 -60 + -13x + x3 = 48 + -48 Combine like terms: 48 + -48 = 0 -60 + -13x + x3 = 0 The solution to this equation could not be determined.
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