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Simplifying 2ln(x + 3) = ln(2x + 14) Reorder the terms: 2ln(3 + x) = ln(2x + 14) (3 * 2ln + x * 2ln) = ln(2x + 14) (6ln + 2lnx) = ln(2x + 14) Reorder the terms: 6ln + 2lnx = ln(14 + 2x) 6ln + 2lnx = (14 * ln + 2x * ln) 6ln + 2lnx = (14ln + 2lnx) Add '-2lnx' to each side of the equation. 6ln + 2lnx + -2lnx = 14ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 6ln + 0 = 14ln + 2lnx + -2lnx 6ln = 14ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 6ln = 14ln + 0 6ln = 14ln Solving 6ln = 14ln 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 = 14ln + -14ln Combine like terms: 6ln + -14ln = -8ln -8ln = 14ln + -14ln Combine like terms: 14ln + -14ln = 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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