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Simplifying In(2x + 1) + -1 = In(x + -2) Reorder the terms: nI(1 + 2x) + -1 = In(x + -2) (1 * nI + 2x * nI) + -1 = In(x + -2) (1nI + 2nxI) + -1 = In(x + -2) Reorder the terms: -1 + 1nI + 2nxI = In(x + -2) Reorder the terms: -1 + 1nI + 2nxI = nI(-2 + x) -1 + 1nI + 2nxI = (-2 * nI + x * nI) -1 + 1nI + 2nxI = (-2nI + nxI) Solving -1 + 1nI + 2nxI = -2nI + nxI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2nI' to each side of the equation. -1 + 1nI + 2nI + 2nxI = -2nI + 2nI + nxI Combine like terms: 1nI + 2nI = 3nI -1 + 3nI + 2nxI = -2nI + 2nI + nxI Combine like terms: -2nI + 2nI = 0 -1 + 3nI + 2nxI = 0 + nxI -1 + 3nI + 2nxI = nxI Add '-1nxI' to each side of the equation. -1 + 3nI + 2nxI + -1nxI = nxI + -1nxI Combine like terms: 2nxI + -1nxI = 1nxI -1 + 3nI + 1nxI = nxI + -1nxI Combine like terms: nxI + -1nxI = 0 -1 + 3nI + 1nxI = 0 Add '1' to each side of the equation. -1 + 3nI + 1 + 1nxI = 0 + 1 Reorder the terms: -1 + 1 + 3nI + 1nxI = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3nI + 1nxI = 0 + 1 3nI + 1nxI = 0 + 1 Combine like terms: 0 + 1 = 1 3nI + 1nxI = 1 Reorder the terms: -1 + 3nI + 1nxI = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 3nI + 1nxI = 0 The solution to this equation could not be determined.
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