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Simplifying 14 = 19 + -4ln(2x + -5) Reorder the terms: 14 = 19 + -4ln(-5 + 2x) 14 = 19 + (-5 * -4ln + 2x * -4ln) 14 = 19 + (20ln + -8lnx) Solving 14 = 19 + 20ln + -8lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-20ln' to each side of the equation. 14 + -20ln = 19 + 20ln + -20ln + -8lnx Combine like terms: 20ln + -20ln = 0 14 + -20ln = 19 + 0 + -8lnx 14 + -20ln = 19 + -8lnx Add '8lnx' to each side of the equation. 14 + -20ln + 8lnx = 19 + -8lnx + 8lnx Combine like terms: -8lnx + 8lnx = 0 14 + -20ln + 8lnx = 19 + 0 14 + -20ln + 8lnx = 19 Add '-14' to each side of the equation. 14 + -20ln + -14 + 8lnx = 19 + -14 Reorder the terms: 14 + -14 + -20ln + 8lnx = 19 + -14 Combine like terms: 14 + -14 = 0 0 + -20ln + 8lnx = 19 + -14 -20ln + 8lnx = 19 + -14 Combine like terms: 19 + -14 = 5 -20ln + 8lnx = 5 Reorder the terms: -5 + -20ln + 8lnx = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + -20ln + 8lnx = 0 The solution to this equation could not be determined.
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