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Simplifying lnx + -2 = ln(2x + -5) Reorder the terms: -2 + lnx = ln(2x + -5) Reorder the terms: -2 + lnx = ln(-5 + 2x) -2 + lnx = (-5 * ln + 2x * ln) -2 + lnx = (-5ln + 2lnx) Solving -2 + lnx = -5ln + 2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '5ln' to each side of the equation. -2 + 5ln + lnx = -5ln + 5ln + 2lnx Combine like terms: -5ln + 5ln = 0 -2 + 5ln + lnx = 0 + 2lnx -2 + 5ln + lnx = 2lnx Add '-2lnx' to each side of the equation. -2 + 5ln + lnx + -2lnx = 2lnx + -2lnx Combine like terms: lnx + -2lnx = -1lnx -2 + 5ln + -1lnx = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -2 + 5ln + -1lnx = 0 Add '2' to each side of the equation. -2 + 5ln + 2 + -1lnx = 0 + 2 Reorder the terms: -2 + 2 + 5ln + -1lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5ln + -1lnx = 0 + 2 5ln + -1lnx = 0 + 2 Combine like terms: 0 + 2 = 2 5ln + -1lnx = 2 Reorder the terms: -2 + 5ln + -1lnx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 5ln + -1lnx = 0 The solution to this equation could not be determined.
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