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