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Simplifying ln(x + 12) + ln(x + -5) = 2ln(x) Reorder the terms: ln(12 + x) + ln(x + -5) = 2ln(x) (12 * ln + x * ln) + ln(x + -5) = 2ln(x) (12ln + lnx) + ln(x + -5) = 2ln(x) Reorder the terms: 12ln + lnx + ln(-5 + x) = 2ln(x) 12ln + lnx + (-5 * ln + x * ln) = 2ln(x) 12ln + lnx + (-5ln + lnx) = 2ln(x) Reorder the terms: 12ln + -5ln + lnx + lnx = 2ln(x) Combine like terms: 12ln + -5ln = 7ln 7ln + lnx + lnx = 2ln(x) Combine like terms: lnx + lnx = 2lnx 7ln + 2lnx = 2ln(x) Multiply ln * x 7ln + 2lnx = 2lnx Add '-2lnx' to each side of the equation. 7ln + 2lnx + -2lnx = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 7ln + 0 = 2lnx + -2lnx 7ln = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 7ln = 0 Solving 7ln = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '7'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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