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Simplifying (1 + -1x)(6 + -1x)(2 + -1x) + 8 + -2(6 + -1x) + -21(1 + -1x) + 2(2 + -1x) = 0 Multiply (1 + -1x) * (6 + -1x) (1(6 + -1x) + -1x * (6 + -1x))(2 + -1x) + 8 + -2(6 + -1x) + -21(1 + -1x) + 2(2 + -1x) = 0 ((6 * 1 + -1x * 1) + -1x * (6 + -1x))(2 + -1x) + 8 + -2(6 + -1x) + -21(1 + -1x) + 2(2 + -1x) = 0 ((6 + -1x) + -1x * (6 + -1x))(2 + -1x) + 8 + -2(6 + -1x) + -21(1 + -1x) + 2(2 + -1x) = 0 (6 + -1x + (6 * -1x + -1x * -1x))(2 + -1x) + 8 + -2(6 + -1x) + -21(1 + -1x) + 2(2 + -1x) = 0 (6 + -1x + (-6x + 1x2))(2 + -1x) + 8 + -2(6 + -1x) + -21(1 + -1x) + 2(2 + -1x) = 0 Combine like terms: -1x + -6x = -7x (6 + -7x + 1x2)(2 + -1x) + 8 + -2(6 + -1x) + -21(1 + -1x) + 2(2 + -1x) = 0 Multiply (6 + -7x + 1x2) * (2 + -1x) (6(2 + -1x) + -7x * (2 + -1x) + 1x2 * (2 + -1x)) + 8 + -2(6 + -1x) + -21(1 + -1x) + 2(2 + -1x) = 0 ((2 * 6 + -1x * 6) + -7x * (2 + -1x) + 1x2 * (2 + -1x)) + 8 + -2(6 + -1x) + -21(1 + -1x) + 2(2 + -1x) = 0 ((12 + -6x) + -7x * (2 + -1x) + 1x2 * (2 + -1x)) + 8 + -2(6 + -1x) + -21(1 + -1x) + 2(2 + -1x) = 0 (12 + -6x + (2 * -7x + -1x * -7x) + 1x2 * (2 + -1x)) + 8 + -2(6 + -1x) + -21(1 + -1x) + 2(2 + -1x) = 0 (12 + -6x + (-14x + 7x2) + 1x2 * (2 + -1x)) + 8 + -2(6 + -1x) + -21(1 + -1x) + 2(2 + -1x) = 0 (12 + -6x + -14x + 7x2 + (2 * 1x2 + -1x * 1x2)) + 8 + -2(6 + -1x) + -21(1 + -1x) + 2(2 + -1x) = 0 (12 + -6x + -14x + 7x2 + (2x2 + -1x3)) + 8 + -2(6 + -1x) + -21(1 + -1x) + 2(2 + -1x) = 0 Combine like terms: -6x + -14x = -20x (12 + -20x + 7x2 + 2x2 + -1x3) + 8 + -2(6 + -1x) + -21(1 + -1x) + 2(2 + -1x) = 0 Combine like terms: 7x2 + 2x2 = 9x2 (12 + -20x + 9x2 + -1x3) + 8 + -2(6 + -1x) + -21(1 + -1x) + 2(2 + -1x) = 0 12 + -20x + 9x2 + -1x3 + 8 + (6 * -2 + -1x * -2) + -21(1 + -1x) + 2(2 + -1x) = 0 12 + -20x + 9x2 + -1x3 + 8 + (-12 + 2x) + -21(1 + -1x) + 2(2 + -1x) = 0 12 + -20x + 9x2 + -1x3 + 8 + -12 + 2x + (1 * -21 + -1x * -21) + 2(2 + -1x) = 0 12 + -20x + 9x2 + -1x3 + 8 + -12 + 2x + (-21 + 21x) + 2(2 + -1x) = 0 12 + -20x + 9x2 + -1x3 + 8 + -12 + 2x + -21 + 21x + (2 * 2 + -1x * 2) = 0 12 + -20x + 9x2 + -1x3 + 8 + -12 + 2x + -21 + 21x + (4 + -2x) = 0 Reorder the terms: 12 + 8 + -12 + -21 + 4 + -20x + 2x + 21x + -2x + 9x2 + -1x3 = 0 Combine like terms: 12 + 8 = 20 20 + -12 + -21 + 4 + -20x + 2x + 21x + -2x + 9x2 + -1x3 = 0 Combine like terms: 20 + -12 = 8 8 + -21 + 4 + -20x + 2x + 21x + -2x + 9x2 + -1x3 = 0 Combine like terms: 8 + -21 = -13 -13 + 4 + -20x + 2x + 21x + -2x + 9x2 + -1x3 = 0 Combine like terms: -13 + 4 = -9 -9 + -20x + 2x + 21x + -2x + 9x2 + -1x3 = 0 Combine like terms: -20x + 2x = -18x -9 + -18x + 21x + -2x + 9x2 + -1x3 = 0 Combine like terms: -18x + 21x = 3x -9 + 3x + -2x + 9x2 + -1x3 = 0 Combine like terms: 3x + -2x = 1x -9 + 1x + 9x2 + -1x3 = 0 Solving -9 + 1x + 9x2 + -1x3 = 0 Solving for variable 'x'. The solution to this equation could not be determined.
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