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Simplifying 20 = 1 + 6ln(5x + 1) Reorder the terms: 20 = 1 + 6ln(1 + 5x) 20 = 1 + (1 * 6ln + 5x * 6ln) 20 = 1 + (6ln + 30lnx) Solving 20 = 1 + 6ln + 30lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6ln' to each side of the equation. 20 + -6ln = 1 + 6ln + -6ln + 30lnx Combine like terms: 6ln + -6ln = 0 20 + -6ln = 1 + 0 + 30lnx 20 + -6ln = 1 + 30lnx Add '-30lnx' to each side of the equation. 20 + -6ln + -30lnx = 1 + 30lnx + -30lnx Combine like terms: 30lnx + -30lnx = 0 20 + -6ln + -30lnx = 1 + 0 20 + -6ln + -30lnx = 1 Add '-20' to each side of the equation. 20 + -6ln + -20 + -30lnx = 1 + -20 Reorder the terms: 20 + -20 + -6ln + -30lnx = 1 + -20 Combine like terms: 20 + -20 = 0 0 + -6ln + -30lnx = 1 + -20 -6ln + -30lnx = 1 + -20 Combine like terms: 1 + -20 = -19 -6ln + -30lnx = -19 Reorder the terms: 19 + -6ln + -30lnx = -19 + 19 Combine like terms: -19 + 19 = 0 19 + -6ln + -30lnx = 0 The solution to this equation could not be determined.
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