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Simplifying ln(x + -1) + ln(1 + -1x) = ln(-1x) Reorder the terms: ln(-1 + x) + ln(1 + -1x) = ln(-1x) (-1 * ln + x * ln) + ln(1 + -1x) = ln(-1x) (-1ln + lnx) + ln(1 + -1x) = ln(-1x) -1ln + lnx + (1 * ln + -1x * ln) = ln(-1x) -1ln + lnx + (1ln + -1lnx) = ln(-1x) Reorder the terms: -1ln + 1ln + lnx + -1lnx = ln(-1x) Combine like terms: -1ln + 1ln = 0 0 + lnx + -1lnx = ln(-1x) lnx + -1lnx = ln(-1x) Combine like terms: lnx + -1lnx = 0 0 = ln(-1x) Remove parenthesis around (-1x) 0 = ln * -1x Reorder the terms for easier multiplication: 0 = -1ln * x Multiply ln * x 0 = -1lnx Solving 0 = -1lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add 'lnx' to each side of the equation. 0 + lnx = -1lnx + lnx Remove the zero: lnx = -1lnx + lnx Combine like terms: -1lnx + lnx = 0 lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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