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Simplifying ln(x + 8) + (x + -1) = 2lnx Reorder the terms: ln(8 + x) + (x + -1) = 2lnx (8 * ln + x * ln) + (x + -1) = 2lnx (8ln + lnx) + (x + -1) = 2lnx Reorder the terms: 8ln + lnx + (-1 + x) = 2lnx Remove parenthesis around (-1 + x) 8ln + lnx + -1 + x = 2lnx Reorder the terms: -1 + 8ln + lnx + x = 2lnx Solving -1 + 8ln + lnx + x = 2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2lnx' to each side of the equation. -1 + 8ln + lnx + -2lnx + x = 2lnx + -2lnx Combine like terms: lnx + -2lnx = -1lnx -1 + 8ln + -1lnx + x = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -1 + 8ln + -1lnx + x = 0 Add '1' to each side of the equation. -1 + 8ln + -1lnx + 1 + x = 0 + 1 Reorder the terms: -1 + 1 + 8ln + -1lnx + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8ln + -1lnx + x = 0 + 1 8ln + -1lnx + x = 0 + 1 Combine like terms: 0 + 1 = 1 8ln + -1lnx + x = 1 Add '-1x' to each side of the equation. 8ln + -1lnx + x + -1x = 1 + -1x Combine like terms: x + -1x = 0 8ln + -1lnx + 0 = 1 + -1x 8ln + -1lnx = 1 + -1x Reorder the terms: -1 + 8ln + -1lnx + x = 1 + -1x + -1 + x Reorder the terms: -1 + 8ln + -1lnx + x = 1 + -1 + -1x + x Combine like terms: 1 + -1 = 0 -1 + 8ln + -1lnx + x = 0 + -1x + x -1 + 8ln + -1lnx + x = -1x + x Combine like terms: -1x + x = 0 -1 + 8ln + -1lnx + x = 0 The solution to this equation could not be determined.
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