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Simplifying (x + 5)(x + 7)(x2 + -2x)(2x + -3) = 44 Reorder the terms: (5 + x)(x + 7)(x2 + -2x)(2x + -3) = 44 Reorder the terms: (5 + x)(7 + x)(x2 + -2x)(2x + -3) = 44 Reorder the terms: (5 + x)(7 + x)(-2x + x2)(2x + -3) = 44 Reorder the terms: (5 + x)(7 + x)(-2x + x2)(-3 + 2x) = 44 Multiply (5 + x) * (7 + x) (5(7 + x) + x(7 + x))(-2x + x2)(-3 + 2x) = 44 ((7 * 5 + x * 5) + x(7 + x))(-2x + x2)(-3 + 2x) = 44 ((35 + 5x) + x(7 + x))(-2x + x2)(-3 + 2x) = 44 (35 + 5x + (7 * x + x * x))(-2x + x2)(-3 + 2x) = 44 (35 + 5x + (7x + x2))(-2x + x2)(-3 + 2x) = 44 Combine like terms: 5x + 7x = 12x (35 + 12x + x2)(-2x + x2)(-3 + 2x) = 44 Multiply (35 + 12x + x2) * (-2x + x2) (35(-2x + x2) + 12x * (-2x + x2) + x2(-2x + x2))(-3 + 2x) = 44 ((-2x * 35 + x2 * 35) + 12x * (-2x + x2) + x2(-2x + x2))(-3 + 2x) = 44 ((-70x + 35x2) + 12x * (-2x + x2) + x2(-2x + x2))(-3 + 2x) = 44 (-70x + 35x2 + (-2x * 12x + x2 * 12x) + x2(-2x + x2))(-3 + 2x) = 44 (-70x + 35x2 + (-24x2 + 12x3) + x2(-2x + x2))(-3 + 2x) = 44 (-70x + 35x2 + -24x2 + 12x3 + (-2x * x2 + x2 * x2))(-3 + 2x) = 44 (-70x + 35x2 + -24x2 + 12x3 + (-2x3 + x4))(-3 + 2x) = 44 Combine like terms: 35x2 + -24x2 = 11x2 (-70x + 11x2 + 12x3 + -2x3 + x4)(-3 + 2x) = 44 Combine like terms: 12x3 + -2x3 = 10x3 (-70x + 11x2 + 10x3 + x4)(-3 + 2x) = 44 Multiply (-70x + 11x2 + 10x3 + x4) * (-3 + 2x) (-70x * (-3 + 2x) + 11x2 * (-3 + 2x) + 10x3 * (-3 + 2x) + x4(-3 + 2x)) = 44 ((-3 * -70x + 2x * -70x) + 11x2 * (-3 + 2x) + 10x3 * (-3 + 2x) + x4(-3 + 2x)) = 44 ((210x + -140x2) + 11x2 * (-3 + 2x) + 10x3 * (-3 + 2x) + x4(-3 + 2x)) = 44 (210x + -140x2 + (-3 * 11x2 + 2x * 11x2) + 10x3 * (-3 + 2x) + x4(-3 + 2x)) = 44 (210x + -140x2 + (-33x2 + 22x3) + 10x3 * (-3 + 2x) + x4(-3 + 2x)) = 44 (210x + -140x2 + -33x2 + 22x3 + (-3 * 10x3 + 2x * 10x3) + x4(-3 + 2x)) = 44 (210x + -140x2 + -33x2 + 22x3 + (-30x3 + 20x4) + x4(-3 + 2x)) = 44 (210x + -140x2 + -33x2 + 22x3 + -30x3 + 20x4 + (-3 * x4 + 2x * x4)) = 44 (210x + -140x2 + -33x2 + 22x3 + -30x3 + 20x4 + (-3x4 + 2x5)) = 44 Combine like terms: -140x2 + -33x2 = -173x2 (210x + -173x2 + 22x3 + -30x3 + 20x4 + -3x4 + 2x5) = 44 Combine like terms: 22x3 + -30x3 = -8x3 (210x + -173x2 + -8x3 + 20x4 + -3x4 + 2x5) = 44 Combine like terms: 20x4 + -3x4 = 17x4 (210x + -173x2 + -8x3 + 17x4 + 2x5) = 44 Solving 210x + -173x2 + -8x3 + 17x4 + 2x5 = 44 Solving for variable 'x'. Reorder the terms: -44 + 210x + -173x2 + -8x3 + 17x4 + 2x5 = 44 + -44 Combine like terms: 44 + -44 = 0 -44 + 210x + -173x2 + -8x3 + 17x4 + 2x5 = 0 The solution to this equation could not be determined.
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