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Simplifying ln(-4 + -1x) + ln(3) = ln(2 + -1x) (-4 * ln + -1x * ln) + ln(3) = ln(2 + -1x) (-4ln + -1lnx) + ln(3) = ln(2 + -1x) Reorder the terms for easier multiplication: -4ln + -1lnx + 3ln = ln(2 + -1x) Reorder the terms: -4ln + 3ln + -1lnx = ln(2 + -1x) Combine like terms: -4ln + 3ln = -1ln -1ln + -1lnx = ln(2 + -1x) -1ln + -1lnx = (2 * ln + -1x * ln) -1ln + -1lnx = (2ln + -1lnx) Add 'lnx' to each side of the equation. -1ln + -1lnx + lnx = 2ln + -1lnx + lnx Combine like terms: -1lnx + lnx = 0 -1ln + 0 = 2ln + -1lnx + lnx -1ln = 2ln + -1lnx + lnx Combine like terms: -1lnx + lnx = 0 -1ln = 2ln + 0 -1ln = 2ln Solving -1ln = 2ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2ln' to each side of the equation. -1ln + -2ln = 2ln + -2ln Combine like terms: -1ln + -2ln = -3ln -3ln = 2ln + -2ln Combine like terms: 2ln + -2ln = 0 -3ln = 0 Divide each side by '-3'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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