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Simplifying x = ln[(x2 + 1)(2x + 1)] Reorder the terms: x = ln[(1 + x2)(2x + 1)] Reorder the terms: x = ln[(1 + x2)(1 + 2x)] Multiply (1 + x2) * (1 + 2x) x = ln[(1(1 + 2x) + x2(1 + 2x))] x = ln[((1 * 1 + 2x * 1) + x2(1 + 2x))] x = ln[((1 + 2x) + x2(1 + 2x))] x = ln[(1 + 2x + (1 * x2 + 2x * x2))] x = ln[(1 + 2x + (1x2 + 2x3))] x = ln[(1 + 2x + 1x2 + 2x3)] x = [1 * ln + 2x * ln + 1x2 * ln + 2x3 * ln] x = [1ln + 2lnx + 1lnx2 + 2lnx3] Solving x = 1ln + 2lnx + 1lnx2 + 2lnx3 Solving for variable 'x'. Reorder the terms: -1ln + -2lnx + -1lnx2 + -2lnx3 + x = 1ln + 2lnx + 1lnx2 + 2lnx3 + -1ln + -2lnx + -1lnx2 + -2lnx3 Reorder the terms: -1ln + -2lnx + -1lnx2 + -2lnx3 + x = 1ln + -1ln + 2lnx + -2lnx + 1lnx2 + -1lnx2 + 2lnx3 + -2lnx3 Combine like terms: 1ln + -1ln = 0 -1ln + -2lnx + -1lnx2 + -2lnx3 + x = 0 + 2lnx + -2lnx + 1lnx2 + -1lnx2 + 2lnx3 + -2lnx3 -1ln + -2lnx + -1lnx2 + -2lnx3 + x = 2lnx + -2lnx + 1lnx2 + -1lnx2 + 2lnx3 + -2lnx3 Combine like terms: 2lnx + -2lnx = 0 -1ln + -2lnx + -1lnx2 + -2lnx3 + x = 0 + 1lnx2 + -1lnx2 + 2lnx3 + -2lnx3 -1ln + -2lnx + -1lnx2 + -2lnx3 + x = 1lnx2 + -1lnx2 + 2lnx3 + -2lnx3 Combine like terms: 1lnx2 + -1lnx2 = 0 -1ln + -2lnx + -1lnx2 + -2lnx3 + x = 0 + 2lnx3 + -2lnx3 -1ln + -2lnx + -1lnx2 + -2lnx3 + x = 2lnx3 + -2lnx3 Combine like terms: 2lnx3 + -2lnx3 = 0 -1ln + -2lnx + -1lnx2 + -2lnx3 + x = 0 The solution to this equation could not be determined.
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