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Simplifying ln(x + 1) = ln(8x + 1) + -1lnx Reorder the terms: ln(1 + x) = ln(8x + 1) + -1lnx (1 * ln + x * ln) = ln(8x + 1) + -1lnx (1ln + lnx) = ln(8x + 1) + -1lnx Reorder the terms: 1ln + lnx = ln(1 + 8x) + -1lnx 1ln + lnx = (1 * ln + 8x * ln) + -1lnx 1ln + lnx = (1ln + 8lnx) + -1lnx Combine like terms: 8lnx + -1lnx = 7lnx 1ln + lnx = 1ln + 7lnx Add '-1ln' to each side of the equation. 1ln + -1ln + lnx = 1ln + -1ln + 7lnx Combine like terms: 1ln + -1ln = 0 0 + lnx = 1ln + -1ln + 7lnx lnx = 1ln + -1ln + 7lnx Combine like terms: 1ln + -1ln = 0 lnx = 0 + 7lnx lnx = 7lnx Solving lnx = 7lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-7lnx' to each side of the equation. lnx + -7lnx = 7lnx + -7lnx Combine like terms: lnx + -7lnx = -6lnx -6lnx = 7lnx + -7lnx Combine like terms: 7lnx + -7lnx = 0 -6lnx = 0 Divide each side by '-6'. lnx = 0 Simplifying lnx = 0 The solution to this equation could not be determined.
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