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Simplifying 2ln(x) + -1ln(x + -1) = ln(2) + ln(x + 4) Multiply ln * x 2lnx + -1ln(x + -1) = ln(2) + ln(x + 4) Reorder the terms: 2lnx + -1ln(-1 + x) = ln(2) + ln(x + 4) 2lnx + (-1 * -1ln + x * -1ln) = ln(2) + ln(x + 4) 2lnx + (1ln + -1lnx) = ln(2) + ln(x + 4) Reorder the terms: 1ln + 2lnx + -1lnx = ln(2) + ln(x + 4) Combine like terms: 2lnx + -1lnx = 1lnx 1ln + 1lnx = ln(2) + ln(x + 4) Reorder the terms for easier multiplication: 1ln + 1lnx = 2ln + ln(x + 4) Reorder the terms: 1ln + 1lnx = 2ln + ln(4 + x) 1ln + 1lnx = 2ln + (4 * ln + x * ln) 1ln + 1lnx = 2ln + (4ln + lnx) Combine like terms: 2ln + 4ln = 6ln 1ln + 1lnx = 6ln + lnx Solving 1ln + 1lnx = 6ln + lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6ln' to each side of the equation. 1ln + -6ln + 1lnx = 6ln + -6ln + lnx Combine like terms: 1ln + -6ln = -5ln -5ln + 1lnx = 6ln + -6ln + lnx Combine like terms: 6ln + -6ln = 0 -5ln + 1lnx = 0 + lnx -5ln + 1lnx = lnx Add '-1lnx' to each side of the equation. -5ln + 1lnx + -1lnx = lnx + -1lnx Combine like terms: 1lnx + -1lnx = 0 -5ln + 0 = lnx + -1lnx -5ln = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -5ln = 0 Divide each side by '-5'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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