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Simplifying ln(x + 12) + ln(x + -4) = 2lnx Reorder the terms: ln(12 + x) + ln(x + -4) = 2lnx (12 * ln + x * ln) + ln(x + -4) = 2lnx (12ln + lnx) + ln(x + -4) = 2lnx Reorder the terms: 12ln + lnx + ln(-4 + x) = 2lnx 12ln + lnx + (-4 * ln + x * ln) = 2lnx 12ln + lnx + (-4ln + lnx) = 2lnx Reorder the terms: 12ln + -4ln + lnx + lnx = 2lnx Combine like terms: 12ln + -4ln = 8ln 8ln + lnx + lnx = 2lnx Combine like terms: lnx + lnx = 2lnx 8ln + 2lnx = 2lnx Add '-2lnx' to each side of the equation. 8ln + 2lnx + -2lnx = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 8ln + 0 = 2lnx + -2lnx 8ln = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 8ln = 0 Solving 8ln = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Divide each side by '8'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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