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Simplifying in(x + -1) + ln(x + 2) = 12 Reorder the terms: in(-1 + x) + ln(x + 2) = 12 (-1 * in + x * in) + ln(x + 2) = 12 (-1in + inx) + ln(x + 2) = 12 Reorder the terms: -1in + inx + ln(2 + x) = 12 -1in + inx + (2 * ln + x * ln) = 12 -1in + inx + (2ln + lnx) = 12 Solving -1in + inx + 2ln + lnx = 12 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2ln' to each side of the equation. -1in + inx + 2ln + -2ln + lnx = 12 + -2ln Combine like terms: 2ln + -2ln = 0 -1in + inx + 0 + lnx = 12 + -2ln -1in + inx + lnx = 12 + -2ln Add '-1lnx' to each side of the equation. -1in + inx + lnx + -1lnx = 12 + -2ln + -1lnx Combine like terms: lnx + -1lnx = 0 -1in + inx + 0 = 12 + -2ln + -1lnx -1in + inx = 12 + -2ln + -1lnx Reorder the terms: -12 + -1in + inx + 2ln + lnx = 12 + -2ln + -1lnx + -12 + 2ln + lnx Reorder the terms: -12 + -1in + inx + 2ln + lnx = 12 + -12 + -2ln + 2ln + -1lnx + lnx Combine like terms: 12 + -12 = 0 -12 + -1in + inx + 2ln + lnx = 0 + -2ln + 2ln + -1lnx + lnx -12 + -1in + inx + 2ln + lnx = -2ln + 2ln + -1lnx + lnx Combine like terms: -2ln + 2ln = 0 -12 + -1in + inx + 2ln + lnx = 0 + -1lnx + lnx -12 + -1in + inx + 2ln + lnx = -1lnx + lnx Combine like terms: -1lnx + lnx = 0 -12 + -1in + inx + 2ln + lnx = 0 The solution to this equation could not be determined.
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