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Simplifying 2ln(3 + -2x) = ln(-4x + 5) (3 * 2ln + -2x * 2ln) = ln(-4x + 5) (6ln + -4lnx) = ln(-4x + 5) Reorder the terms: 6ln + -4lnx = ln(5 + -4x) 6ln + -4lnx = (5 * ln + -4x * ln) 6ln + -4lnx = (5ln + -4lnx) Add '4lnx' to each side of the equation. 6ln + -4lnx + 4lnx = 5ln + -4lnx + 4lnx Combine like terms: -4lnx + 4lnx = 0 6ln + 0 = 5ln + -4lnx + 4lnx 6ln = 5ln + -4lnx + 4lnx Combine like terms: -4lnx + 4lnx = 0 6ln = 5ln + 0 6ln = 5ln Solving 6ln = 5ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5ln' to each side of the equation. 6ln + -5ln = 5ln + -5ln Combine like terms: 6ln + -5ln = 1ln 1ln = 5ln + -5ln Combine like terms: 5ln + -5ln = 0 1ln = 0 Divide each side by '1'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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