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