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