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Simplifying X(2x + -8) = (2x + 7)(x + -6) Reorder the terms: X(-8 + 2x) = (2x + 7)(x + -6) (-8 * X + 2x * X) = (2x + 7)(x + -6) (-8X + 2xX) = (2x + 7)(x + -6) Reorder the terms: -8X + 2xX = (7 + 2x)(x + -6) Reorder the terms: -8X + 2xX = (7 + 2x)(-6 + x) Multiply (7 + 2x) * (-6 + x) -8X + 2xX = (7(-6 + x) + 2x * (-6 + x)) -8X + 2xX = ((-6 * 7 + x * 7) + 2x * (-6 + x)) -8X + 2xX = ((-42 + 7x) + 2x * (-6 + x)) -8X + 2xX = (-42 + 7x + (-6 * 2x + x * 2x)) -8X + 2xX = (-42 + 7x + (-12x + 2x2)) Combine like terms: 7x + -12x = -5x -8X + 2xX = (-42 + -5x + 2x2) Solving -8X + 2xX = -42 + -5x + 2x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Reorder the terms: 42 + -8X + 5x + 2xX + -2x2 = -42 + -5x + 2x2 + 42 + 5x + -2x2 Reorder the terms: 42 + -8X + 5x + 2xX + -2x2 = -42 + 42 + -5x + 5x + 2x2 + -2x2 Combine like terms: -42 + 42 = 0 42 + -8X + 5x + 2xX + -2x2 = 0 + -5x + 5x + 2x2 + -2x2 42 + -8X + 5x + 2xX + -2x2 = -5x + 5x + 2x2 + -2x2 Combine like terms: -5x + 5x = 0 42 + -8X + 5x + 2xX + -2x2 = 0 + 2x2 + -2x2 42 + -8X + 5x + 2xX + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 42 + -8X + 5x + 2xX + -2x2 = 0 The solution to this equation could not be determined.
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