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