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Simplifying 14 = 5ln(3x + 2) Reorder the terms: 14 = 5ln(2 + 3x) 14 = (2 * 5ln + 3x * 5ln) 14 = (10ln + 15lnx) Solving 14 = 10ln + 15lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-10ln' to each side of the equation. 14 + -10ln = 10ln + -10ln + 15lnx Combine like terms: 10ln + -10ln = 0 14 + -10ln = 0 + 15lnx 14 + -10ln = 15lnx Add '-15lnx' to each side of the equation. 14 + -10ln + -15lnx = 15lnx + -15lnx Combine like terms: 15lnx + -15lnx = 0 14 + -10ln + -15lnx = 0 Add '-14' to each side of the equation. 14 + -10ln + -14 + -15lnx = 0 + -14 Reorder the terms: 14 + -14 + -10ln + -15lnx = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -10ln + -15lnx = 0 + -14 -10ln + -15lnx = 0 + -14 Combine like terms: 0 + -14 = -14 -10ln + -15lnx = -14 Reorder the terms: 14 + -10ln + -15lnx = -14 + 14 Combine like terms: -14 + 14 = 0 14 + -10ln + -15lnx = 0 The solution to this equation could not be determined.
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