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Simplifying 2ln(x) + -2 = ln(x + -3) Multiply ln * x 2lnx + -2 = ln(x + -3) Reorder the terms: -2 + 2lnx = ln(x + -3) Reorder the terms: -2 + 2lnx = ln(-3 + x) -2 + 2lnx = (-3 * ln + x * ln) -2 + 2lnx = (-3ln + lnx) Solving -2 + 2lnx = -3ln + lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3ln' to each side of the equation. -2 + 3ln + 2lnx = -3ln + 3ln + lnx Combine like terms: -3ln + 3ln = 0 -2 + 3ln + 2lnx = 0 + lnx -2 + 3ln + 2lnx = lnx Add '-1lnx' to each side of the equation. -2 + 3ln + 2lnx + -1lnx = lnx + -1lnx Combine like terms: 2lnx + -1lnx = 1lnx -2 + 3ln + 1lnx = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -2 + 3ln + 1lnx = 0 Add '2' to each side of the equation. -2 + 3ln + 2 + 1lnx = 0 + 2 Reorder the terms: -2 + 2 + 3ln + 1lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3ln + 1lnx = 0 + 2 3ln + 1lnx = 0 + 2 Combine like terms: 0 + 2 = 2 3ln + 1lnx = 2 Reorder the terms: -2 + 3ln + 1lnx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 3ln + 1lnx = 0 The solution to this equation could not be determined.
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