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