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Simplifying 1 + (ln(x + 1)) = ln(3x + 3) Reorder the terms: 1 + (ln(1 + x)) = ln(3x + 3) 1 + ((1 * ln + x * ln)) = ln(3x + 3) 1 + ((1ln + lnx)) = ln(3x + 3) 1 + (1ln + lnx) = ln(3x + 3) Remove parenthesis around (1ln + lnx) 1 + 1ln + lnx = ln(3x + 3) Reorder the terms: 1 + 1ln + lnx = ln(3 + 3x) 1 + 1ln + lnx = (3 * ln + 3x * ln) 1 + 1ln + lnx = (3ln + 3lnx) Solving 1 + 1ln + lnx = 3ln + 3lnx 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. 1 + 1ln + -3ln + lnx = 3ln + -3ln + 3lnx Combine like terms: 1ln + -3ln = -2ln 1 + -2ln + lnx = 3ln + -3ln + 3lnx Combine like terms: 3ln + -3ln = 0 1 + -2ln + lnx = 0 + 3lnx 1 + -2ln + lnx = 3lnx Add '-3lnx' to each side of the equation. 1 + -2ln + lnx + -3lnx = 3lnx + -3lnx Combine like terms: lnx + -3lnx = -2lnx 1 + -2ln + -2lnx = 3lnx + -3lnx Combine like terms: 3lnx + -3lnx = 0 1 + -2ln + -2lnx = 0 Add '-1' to each side of the equation. 1 + -2ln + -1 + -2lnx = 0 + -1 Reorder the terms: 1 + -1 + -2ln + -2lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2ln + -2lnx = 0 + -1 -2ln + -2lnx = 0 + -1 Combine like terms: 0 + -1 = -1 -2ln + -2lnx = -1 Reorder the terms: 1 + -2ln + -2lnx = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -2ln + -2lnx = 0 The solution to this equation could not be determined.
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