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Simplifying 12x * 2 + 56x + -55 = (Ax + -1B)(Cx + -1D) Reorder the terms for easier multiplication: 12 * 2x + 56x + -55 = (Ax + -1B)(Cx + -1D) Multiply 12 * 2 24x + 56x + -55 = (Ax + -1B)(Cx + -1D) Reorder the terms: -55 + 24x + 56x = (Ax + -1B)(Cx + -1D) Combine like terms: 24x + 56x = 80x -55 + 80x = (Ax + -1B)(Cx + -1D) Reorder the terms: -55 + 80x = (-1B + xA)(Cx + -1D) Reorder the terms: -55 + 80x = (-1B + xA)(-1D + xC) Multiply (-1B + xA) * (-1D + xC) -55 + 80x = (-1B * (-1D + xC) + xA(-1D + xC)) -55 + 80x = ((-1D * -1B + xC * -1B) + xA(-1D + xC)) -55 + 80x = ((1BD + -1xBC) + xA(-1D + xC)) -55 + 80x = (1BD + -1xBC + (-1D * xA + xC * xA)) -55 + 80x = (1BD + -1xBC + (-1xAD + x2AC)) Reorder the terms: -55 + 80x = (1BD + -1xAD + -1xBC + x2AC) -55 + 80x = (1BD + -1xAD + -1xBC + x2AC) Solving -55 + 80x = 1BD + -1xAD + -1xBC + x2AC Solving for variable 'x'. Reorder the terms: -55 + -1BD + 80x + xAD + xBC + -1x2AC = 1BD + -1xAD + -1xBC + x2AC + -1BD + xAD + xBC + -1x2AC Reorder the terms: -55 + -1BD + 80x + xAD + xBC + -1x2AC = 1BD + -1BD + -1xAD + xAD + -1xBC + xBC + x2AC + -1x2AC Combine like terms: 1BD + -1BD = 0 -55 + -1BD + 80x + xAD + xBC + -1x2AC = 0 + -1xAD + xAD + -1xBC + xBC + x2AC + -1x2AC -55 + -1BD + 80x + xAD + xBC + -1x2AC = -1xAD + xAD + -1xBC + xBC + x2AC + -1x2AC Combine like terms: -1xAD + xAD = 0 -55 + -1BD + 80x + xAD + xBC + -1x2AC = 0 + -1xBC + xBC + x2AC + -1x2AC -55 + -1BD + 80x + xAD + xBC + -1x2AC = -1xBC + xBC + x2AC + -1x2AC Combine like terms: -1xBC + xBC = 0 -55 + -1BD + 80x + xAD + xBC + -1x2AC = 0 + x2AC + -1x2AC -55 + -1BD + 80x + xAD + xBC + -1x2AC = x2AC + -1x2AC Combine like terms: x2AC + -1x2AC = 0 -55 + -1BD + 80x + xAD + xBC + -1x2AC = 0 The solution to this equation could not be determined.
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