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Simplifying ln(6x + 5) = ln(x) + 7 Reorder the terms: ln(5 + 6x) = ln(x) + 7 (5 * ln + 6x * ln) = ln(x) + 7 (5ln + 6lnx) = ln(x) + 7 Multiply ln * x 5ln + 6lnx = lnx + 7 Reorder the terms: 5ln + 6lnx = 7 + lnx Solving 5ln + 6lnx = 7 + 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. 5ln + 6lnx + -1lnx = 7 + lnx + -1lnx Combine like terms: 6lnx + -1lnx = 5lnx 5ln + 5lnx = 7 + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 5ln + 5lnx = 7 + 0 5ln + 5lnx = 7 Reorder the terms: -7 + 5ln + 5lnx = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + 5ln + 5lnx = 0 The solution to this equation could not be determined.
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