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Simplifying (x + 1)(2x + 1)(2x + -7)(x + -3) = 45 Reorder the terms: (1 + x)(2x + 1)(2x + -7)(x + -3) = 45 Reorder the terms: (1 + x)(1 + 2x)(2x + -7)(x + -3) = 45 Reorder the terms: (1 + x)(1 + 2x)(-7 + 2x)(x + -3) = 45 Reorder the terms: (1 + x)(1 + 2x)(-7 + 2x)(-3 + x) = 45 Multiply (1 + x) * (1 + 2x) (1(1 + 2x) + x(1 + 2x))(-7 + 2x)(-3 + x) = 45 ((1 * 1 + 2x * 1) + x(1 + 2x))(-7 + 2x)(-3 + x) = 45 ((1 + 2x) + x(1 + 2x))(-7 + 2x)(-3 + x) = 45 (1 + 2x + (1 * x + 2x * x))(-7 + 2x)(-3 + x) = 45 (1 + 2x + (1x + 2x2))(-7 + 2x)(-3 + x) = 45 Combine like terms: 2x + 1x = 3x (1 + 3x + 2x2)(-7 + 2x)(-3 + x) = 45 Multiply (1 + 3x + 2x2) * (-7 + 2x) (1(-7 + 2x) + 3x * (-7 + 2x) + 2x2 * (-7 + 2x))(-3 + x) = 45 ((-7 * 1 + 2x * 1) + 3x * (-7 + 2x) + 2x2 * (-7 + 2x))(-3 + x) = 45 ((-7 + 2x) + 3x * (-7 + 2x) + 2x2 * (-7 + 2x))(-3 + x) = 45 (-7 + 2x + (-7 * 3x + 2x * 3x) + 2x2 * (-7 + 2x))(-3 + x) = 45 (-7 + 2x + (-21x + 6x2) + 2x2 * (-7 + 2x))(-3 + x) = 45 (-7 + 2x + -21x + 6x2 + (-7 * 2x2 + 2x * 2x2))(-3 + x) = 45 (-7 + 2x + -21x + 6x2 + (-14x2 + 4x3))(-3 + x) = 45 Combine like terms: 2x + -21x = -19x (-7 + -19x + 6x2 + -14x2 + 4x3)(-3 + x) = 45 Combine like terms: 6x2 + -14x2 = -8x2 (-7 + -19x + -8x2 + 4x3)(-3 + x) = 45 Multiply (-7 + -19x + -8x2 + 4x3) * (-3 + x) (-7(-3 + x) + -19x * (-3 + x) + -8x2 * (-3 + x) + 4x3 * (-3 + x)) = 45 ((-3 * -7 + x * -7) + -19x * (-3 + x) + -8x2 * (-3 + x) + 4x3 * (-3 + x)) = 45 ((21 + -7x) + -19x * (-3 + x) + -8x2 * (-3 + x) + 4x3 * (-3 + x)) = 45 (21 + -7x + (-3 * -19x + x * -19x) + -8x2 * (-3 + x) + 4x3 * (-3 + x)) = 45 (21 + -7x + (57x + -19x2) + -8x2 * (-3 + x) + 4x3 * (-3 + x)) = 45 (21 + -7x + 57x + -19x2 + (-3 * -8x2 + x * -8x2) + 4x3 * (-3 + x)) = 45 (21 + -7x + 57x + -19x2 + (24x2 + -8x3) + 4x3 * (-3 + x)) = 45 (21 + -7x + 57x + -19x2 + 24x2 + -8x3 + (-3 * 4x3 + x * 4x3)) = 45 (21 + -7x + 57x + -19x2 + 24x2 + -8x3 + (-12x3 + 4x4)) = 45 Combine like terms: -7x + 57x = 50x (21 + 50x + -19x2 + 24x2 + -8x3 + -12x3 + 4x4) = 45 Combine like terms: -19x2 + 24x2 = 5x2 (21 + 50x + 5x2 + -8x3 + -12x3 + 4x4) = 45 Combine like terms: -8x3 + -12x3 = -20x3 (21 + 50x + 5x2 + -20x3 + 4x4) = 45 Solving 21 + 50x + 5x2 + -20x3 + 4x4 = 45 Solving for variable 'x'. Reorder the terms: 21 + -45 + 50x + 5x2 + -20x3 + 4x4 = 45 + -45 Combine like terms: 21 + -45 = -24 -24 + 50x + 5x2 + -20x3 + 4x4 = 45 + -45 Combine like terms: 45 + -45 = 0 -24 + 50x + 5x2 + -20x3 + 4x4 = 0 The solution to this equation could not be determined.
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