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Simplifying In(x + -5) + in(5x + -1) = 8 Reorder the terms: nI(-5 + x) + in(5x + -1) = 8 (-5 * nI + x * nI) + in(5x + -1) = 8 (-5nI + nxI) + in(5x + -1) = 8 Reorder the terms: -5nI + nxI + in(-1 + 5x) = 8 -5nI + nxI + (-1 * in + 5x * in) = 8 -5nI + nxI + (-1in + 5inx) = 8 Reorder the terms: -1in + 5inx + -5nI + nxI = 8 Solving -1in + 5inx + -5nI + nxI = 8 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5nI' to each side of the equation. -1in + 5inx + -5nI + 5nI + nxI = 8 + 5nI Combine like terms: -5nI + 5nI = 0 -1in + 5inx + 0 + nxI = 8 + 5nI -1in + 5inx + nxI = 8 + 5nI Add '-1nxI' to each side of the equation. -1in + 5inx + nxI + -1nxI = 8 + 5nI + -1nxI Combine like terms: nxI + -1nxI = 0 -1in + 5inx + 0 = 8 + 5nI + -1nxI -1in + 5inx = 8 + 5nI + -1nxI Reorder the terms: -8 + -1in + 5inx + -5nI + nxI = 8 + 5nI + -1nxI + -8 + -5nI + nxI Reorder the terms: -8 + -1in + 5inx + -5nI + nxI = 8 + -8 + 5nI + -5nI + -1nxI + nxI Combine like terms: 8 + -8 = 0 -8 + -1in + 5inx + -5nI + nxI = 0 + 5nI + -5nI + -1nxI + nxI -8 + -1in + 5inx + -5nI + nxI = 5nI + -5nI + -1nxI + nxI Combine like terms: 5nI + -5nI = 0 -8 + -1in + 5inx + -5nI + nxI = 0 + -1nxI + nxI -8 + -1in + 5inx + -5nI + nxI = -1nxI + nxI Combine like terms: -1nxI + nxI = 0 -8 + -1in + 5inx + -5nI + nxI = 0 The solution to this equation could not be determined.
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