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Simplifying (3 + -1x) * ln(7) = (5x + 7) * ln(3) Reorder the terms for easier multiplication: 7ln(3 + -1x) = (5x + 7) * ln(3) (3 * 7ln + -1x * 7ln) = (5x + 7) * ln(3) (21ln + -7lnx) = (5x + 7) * ln(3) Reorder the terms: 21ln + -7lnx = (7 + 5x) * ln(3) Reorder the terms for easier multiplication: 21ln + -7lnx = 3ln(7 + 5x) 21ln + -7lnx = (7 * 3ln + 5x * 3ln) 21ln + -7lnx = (21ln + 15lnx) Add '-21ln' to each side of the equation. 21ln + -21ln + -7lnx = 21ln + -21ln + 15lnx Combine like terms: 21ln + -21ln = 0 0 + -7lnx = 21ln + -21ln + 15lnx -7lnx = 21ln + -21ln + 15lnx Combine like terms: 21ln + -21ln = 0 -7lnx = 0 + 15lnx -7lnx = 15lnx Solving -7lnx = 15lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-15lnx' to each side of the equation. -7lnx + -15lnx = 15lnx + -15lnx Combine like terms: -7lnx + -15lnx = -22lnx -22lnx = 15lnx + -15lnx Combine like terms: 15lnx + -15lnx = 0 -22lnx = 0 Divide each side by '-22'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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