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Simplifying 8 = 17 + -5ln(2x + -3) Reorder the terms: 8 = 17 + -5ln(-3 + 2x) 8 = 17 + (-3 * -5ln + 2x * -5ln) 8 = 17 + (15ln + -10lnx) Solving 8 = 17 + 15ln + -10lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-15ln' to each side of the equation. 8 + -15ln = 17 + 15ln + -15ln + -10lnx Combine like terms: 15ln + -15ln = 0 8 + -15ln = 17 + 0 + -10lnx 8 + -15ln = 17 + -10lnx Add '10lnx' to each side of the equation. 8 + -15ln + 10lnx = 17 + -10lnx + 10lnx Combine like terms: -10lnx + 10lnx = 0 8 + -15ln + 10lnx = 17 + 0 8 + -15ln + 10lnx = 17 Add '-8' to each side of the equation. 8 + -15ln + -8 + 10lnx = 17 + -8 Reorder the terms: 8 + -8 + -15ln + 10lnx = 17 + -8 Combine like terms: 8 + -8 = 0 0 + -15ln + 10lnx = 17 + -8 -15ln + 10lnx = 17 + -8 Combine like terms: 17 + -8 = 9 -15ln + 10lnx = 9 Reorder the terms: -9 + -15ln + 10lnx = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + -15ln + 10lnx = 0 The solution to this equation could not be determined.
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