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Simplifying ln(6x + -5) + ln(x + -1) = ln + 5 Reorder the terms: ln(-5 + 6x) + ln(x + -1) = ln + 5 (-5 * ln + 6x * ln) + ln(x + -1) = ln + 5 (-5ln + 6lnx) + ln(x + -1) = ln + 5 Reorder the terms: -5ln + 6lnx + ln(-1 + x) = ln + 5 -5ln + 6lnx + (-1 * ln + x * ln) = ln + 5 -5ln + 6lnx + (-1ln + lnx) = ln + 5 Reorder the terms: -5ln + -1ln + 6lnx + lnx = ln + 5 Combine like terms: -5ln + -1ln = -6ln -6ln + 6lnx + lnx = ln + 5 Combine like terms: 6lnx + lnx = 7lnx -6ln + 7lnx = ln + 5 Reorder the terms: -6ln + 7lnx = 5 + ln Solving -6ln + 7lnx = 5 + ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1ln' to each side of the equation. -6ln + -1ln + 7lnx = 5 + ln + -1ln Combine like terms: -6ln + -1ln = -7ln -7ln + 7lnx = 5 + ln + -1ln Combine like terms: ln + -1ln = 0 -7ln + 7lnx = 5 + 0 -7ln + 7lnx = 5 Reorder the terms: -5 + -7ln + 7lnx = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + -7ln + 7lnx = 0 The solution to this equation could not be determined.
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