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Simplifying (2x + -7)(2x + 3)(x + -2) = 117 Reorder the terms: (-7 + 2x)(2x + 3)(x + -2) = 117 Reorder the terms: (-7 + 2x)(3 + 2x)(x + -2) = 117 Reorder the terms: (-7 + 2x)(3 + 2x)(-2 + x) = 117 Multiply (-7 + 2x) * (3 + 2x) (-7(3 + 2x) + 2x * (3 + 2x))(-2 + x) = 117 ((3 * -7 + 2x * -7) + 2x * (3 + 2x))(-2 + x) = 117 ((-21 + -14x) + 2x * (3 + 2x))(-2 + x) = 117 (-21 + -14x + (3 * 2x + 2x * 2x))(-2 + x) = 117 (-21 + -14x + (6x + 4x2))(-2 + x) = 117 Combine like terms: -14x + 6x = -8x (-21 + -8x + 4x2)(-2 + x) = 117 Multiply (-21 + -8x + 4x2) * (-2 + x) (-21(-2 + x) + -8x * (-2 + x) + 4x2 * (-2 + x)) = 117 ((-2 * -21 + x * -21) + -8x * (-2 + x) + 4x2 * (-2 + x)) = 117 ((42 + -21x) + -8x * (-2 + x) + 4x2 * (-2 + x)) = 117 (42 + -21x + (-2 * -8x + x * -8x) + 4x2 * (-2 + x)) = 117 (42 + -21x + (16x + -8x2) + 4x2 * (-2 + x)) = 117 (42 + -21x + 16x + -8x2 + (-2 * 4x2 + x * 4x2)) = 117 (42 + -21x + 16x + -8x2 + (-8x2 + 4x3)) = 117 Combine like terms: -21x + 16x = -5x (42 + -5x + -8x2 + -8x2 + 4x3) = 117 Combine like terms: -8x2 + -8x2 = -16x2 (42 + -5x + -16x2 + 4x3) = 117 Solving 42 + -5x + -16x2 + 4x3 = 117 Solving for variable 'x'. Reorder the terms: 42 + -117 + -5x + -16x2 + 4x3 = 117 + -117 Combine like terms: 42 + -117 = -75 -75 + -5x + -16x2 + 4x3 = 117 + -117 Combine like terms: 117 + -117 = 0 -75 + -5x + -16x2 + 4x3 = 0 The solution to this equation could not be determined.
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