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Simplifying ln(-8 + -1x) + ln(3) = ln(2 + -1x) (-8 * ln + -1x * ln) + ln(3) = ln(2 + -1x) (-8ln + -1lnx) + ln(3) = ln(2 + -1x) Reorder the terms for easier multiplication: -8ln + -1lnx + 3ln = ln(2 + -1x) Reorder the terms: -8ln + 3ln + -1lnx = ln(2 + -1x) Combine like terms: -8ln + 3ln = -5ln -5ln + -1lnx = ln(2 + -1x) -5ln + -1lnx = (2 * ln + -1x * ln) -5ln + -1lnx = (2ln + -1lnx) Add 'lnx' to each side of the equation. -5ln + -1lnx + lnx = 2ln + -1lnx + lnx Combine like terms: -1lnx + lnx = 0 -5ln + 0 = 2ln + -1lnx + lnx -5ln = 2ln + -1lnx + lnx Combine like terms: -1lnx + lnx = 0 -5ln = 2ln + 0 -5ln = 2ln Solving -5ln = 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. -5ln + -2ln = 2ln + -2ln Combine like terms: -5ln + -2ln = -7ln -7ln = 2ln + -2ln Combine like terms: 2ln + -2ln = 0 -7ln = 0 Divide each side by '-7'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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