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Simplifying 4 + -3ln(-1x + 2) = ln(-2x + 4) Reorder the terms: 4 + -3ln(2 + -1x) = ln(-2x + 4) 4 + (2 * -3ln + -1x * -3ln) = ln(-2x + 4) 4 + (-6ln + 3lnx) = ln(-2x + 4) Reorder the terms: 4 + -6ln + 3lnx = ln(4 + -2x) 4 + -6ln + 3lnx = (4 * ln + -2x * ln) 4 + -6ln + 3lnx = (4ln + -2lnx) Solving 4 + -6ln + 3lnx = 4ln + -2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4ln' to each side of the equation. 4 + -6ln + -4ln + 3lnx = 4ln + -4ln + -2lnx Combine like terms: -6ln + -4ln = -10ln 4 + -10ln + 3lnx = 4ln + -4ln + -2lnx Combine like terms: 4ln + -4ln = 0 4 + -10ln + 3lnx = 0 + -2lnx 4 + -10ln + 3lnx = -2lnx Add '2lnx' to each side of the equation. 4 + -10ln + 3lnx + 2lnx = -2lnx + 2lnx Combine like terms: 3lnx + 2lnx = 5lnx 4 + -10ln + 5lnx = -2lnx + 2lnx Combine like terms: -2lnx + 2lnx = 0 4 + -10ln + 5lnx = 0 Add '-4' to each side of the equation. 4 + -10ln + -4 + 5lnx = 0 + -4 Reorder the terms: 4 + -4 + -10ln + 5lnx = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -10ln + 5lnx = 0 + -4 -10ln + 5lnx = 0 + -4 Combine like terms: 0 + -4 = -4 -10ln + 5lnx = -4 Reorder the terms: 4 + -10ln + 5lnx = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -10ln + 5lnx = 0 The solution to this equation could not be determined.
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