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Simplifying ln(1 + -1x) + ln(x + -6) = ln(14) (1 * ln + -1x * ln) + ln(x + -6) = ln(14) (1ln + -1lnx) + ln(x + -6) = ln(14) Reorder the terms: 1ln + -1lnx + ln(-6 + x) = ln(14) 1ln + -1lnx + (-6 * ln + x * ln) = ln(14) 1ln + -1lnx + (-6ln + lnx) = ln(14) Reorder the terms: 1ln + -6ln + -1lnx + lnx = ln(14) Combine like terms: 1ln + -6ln = -5ln -5ln + -1lnx + lnx = ln(14) Combine like terms: -1lnx + lnx = 0 -5ln + 0 = ln(14) -5ln = ln(14) Reorder the terms for easier multiplication: -5ln = 14ln Solving -5ln = 14ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-14ln' to each side of the equation. -5ln + -14ln = 14ln + -14ln Combine like terms: -5ln + -14ln = -19ln -19ln = 14ln + -14ln Combine like terms: 14ln + -14ln = 0 -19ln = 0 Divide each side by '-19'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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