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