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