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Simplifying ln + -5x = ln(4 + -3x) ln + -5x = (4 * ln + -3x * ln) ln + -5x = (4ln + -3lnx) Solving ln + -5x = 4ln + -3lnx 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. ln + -4ln + -5x = 4ln + -4ln + -3lnx Combine like terms: ln + -4ln = -3ln -3ln + -5x = 4ln + -4ln + -3lnx Combine like terms: 4ln + -4ln = 0 -3ln + -5x = 0 + -3lnx -3ln + -5x = -3lnx Add '3lnx' to each side of the equation. -3ln + 3lnx + -5x = -3lnx + 3lnx Combine like terms: -3lnx + 3lnx = 0 -3ln + 3lnx + -5x = 0 Add '5x' to each side of the equation. -3ln + 3lnx + -5x + 5x = 0 + 5x Combine like terms: -5x + 5x = 0 -3ln + 3lnx + 0 = 0 + 5x -3ln + 3lnx = 0 + 5x Remove the zero: -3ln + 3lnx = 5x Combine like terms: 5x + -5x = 0 -3ln + 3lnx + -5x = 0 The solution to this equation could not be determined.
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