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