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Simplifying 3ln(x + 2) + -2lnx = ln(x + 14) Reorder the terms: 3ln(2 + x) + -2lnx = ln(x + 14) (2 * 3ln + x * 3ln) + -2lnx = ln(x + 14) (6ln + 3lnx) + -2lnx = ln(x + 14) Combine like terms: 3lnx + -2lnx = 1lnx 6ln + 1lnx = ln(x + 14) Reorder the terms: 6ln + 1lnx = ln(14 + x) 6ln + 1lnx = (14 * ln + x * ln) 6ln + 1lnx = (14ln + lnx) Solving 6ln + 1lnx = 14ln + lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-14ln' to each side of the equation. 6ln + -14ln + 1lnx = 14ln + -14ln + lnx Combine like terms: 6ln + -14ln = -8ln -8ln + 1lnx = 14ln + -14ln + lnx Combine like terms: 14ln + -14ln = 0 -8ln + 1lnx = 0 + lnx -8ln + 1lnx = lnx Add '-1lnx' to each side of the equation. -8ln + 1lnx + -1lnx = lnx + -1lnx Combine like terms: 1lnx + -1lnx = 0 -8ln + 0 = lnx + -1lnx -8ln = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -8ln = 0 Divide each side by '-8'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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