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