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Simplifying In(x + 6) + inx = 0 Reorder the terms: nI(6 + x) + inx = 0 (6 * nI + x * nI) + inx = 0 (6nI + nxI) + inx = 0 Reorder the terms: inx + 6nI + nxI = 0 Solving inx + 6nI + nxI = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6nI' to each side of the equation. inx + 6nI + -6nI + nxI = 0 + -6nI Combine like terms: 6nI + -6nI = 0 inx + 0 + nxI = 0 + -6nI inx + nxI = 0 + -6nI Remove the zero: inx + nxI = -6nI Add '-1nxI' to each side of the equation. inx + nxI + -1nxI = -6nI + -1nxI Combine like terms: nxI + -1nxI = 0 inx + 0 = -6nI + -1nxI inx = -6nI + -1nxI Divide each side by 'nx'. i = -6x-1I + -1I Simplifying i = -6x-1I + -1I Reorder the terms: i = -1I + -6x-1I
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