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Simplifying ln(-2x + 3) = ln(5x + 3) Reorder the terms: ln(3 + -2x) = ln(5x + 3) (3 * ln + -2x * ln) = ln(5x + 3) (3ln + -2lnx) = ln(5x + 3) Reorder the terms: 3ln + -2lnx = ln(3 + 5x) 3ln + -2lnx = (3 * ln + 5x * ln) 3ln + -2lnx = (3ln + 5lnx) Add '-3ln' to each side of the equation. 3ln + -3ln + -2lnx = 3ln + -3ln + 5lnx Combine like terms: 3ln + -3ln = 0 0 + -2lnx = 3ln + -3ln + 5lnx -2lnx = 3ln + -3ln + 5lnx Combine like terms: 3ln + -3ln = 0 -2lnx = 0 + 5lnx -2lnx = 5lnx Solving -2lnx = 5lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5lnx' to each side of the equation. -2lnx + -5lnx = 5lnx + -5lnx Combine like terms: -2lnx + -5lnx = -7lnx -7lnx = 5lnx + -5lnx Combine like terms: 5lnx + -5lnx = 0 -7lnx = 0 Divide each side by '-7'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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