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Simplifying 26 = 14ln(2.5x + 5) Reorder the terms: 26 = 14ln(5 + 2.5x) 26 = (5 * 14ln + 2.5x * 14ln) 26 = (70ln + 35lnx) Solving 26 = 70ln + 35lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-70ln' to each side of the equation. 26 + -70ln = 70ln + -70ln + 35lnx Combine like terms: 70ln + -70ln = 0 26 + -70ln = 0 + 35lnx 26 + -70ln = 35lnx Add '-35lnx' to each side of the equation. 26 + -70ln + -35lnx = 35lnx + -35lnx Combine like terms: 35lnx + -35lnx = 0 26 + -70ln + -35lnx = 0 Add '-26' to each side of the equation. 26 + -70ln + -26 + -35lnx = 0 + -26 Reorder the terms: 26 + -26 + -70ln + -35lnx = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -70ln + -35lnx = 0 + -26 -70ln + -35lnx = 0 + -26 Combine like terms: 0 + -26 = -26 -70ln + -35lnx = -26 Reorder the terms: 26 + -70ln + -35lnx = -26 + 26 Combine like terms: -26 + 26 = 0 26 + -70ln + -35lnx = 0 The solution to this equation could not be determined.
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