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Simplifying ln(x) + 4 = ln(-8x + 1) Multiply ln * x lnx + 4 = ln(-8x + 1) Reorder the terms: 4 + lnx = ln(-8x + 1) Reorder the terms: 4 + lnx = ln(1 + -8x) 4 + lnx = (1 * ln + -8x * ln) 4 + lnx = (1ln + -8lnx) Solving 4 + lnx = 1ln + -8lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1ln' to each side of the equation. 4 + -1ln + lnx = 1ln + -1ln + -8lnx Combine like terms: 1ln + -1ln = 0 4 + -1ln + lnx = 0 + -8lnx 4 + -1ln + lnx = -8lnx Add '8lnx' to each side of the equation. 4 + -1ln + lnx + 8lnx = -8lnx + 8lnx Combine like terms: lnx + 8lnx = 9lnx 4 + -1ln + 9lnx = -8lnx + 8lnx Combine like terms: -8lnx + 8lnx = 0 4 + -1ln + 9lnx = 0 Add '-4' to each side of the equation. 4 + -1ln + -4 + 9lnx = 0 + -4 Reorder the terms: 4 + -4 + -1ln + 9lnx = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1ln + 9lnx = 0 + -4 -1ln + 9lnx = 0 + -4 Combine like terms: 0 + -4 = -4 -1ln + 9lnx = -4 Reorder the terms: 4 + -1ln + 9lnx = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -1ln + 9lnx = 0 The solution to this equation could not be determined.
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