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Simplifying Ln(x + -2) + -1lnx = 1 Reorder the terms: nL(-2 + x) + -1lnx = 1 (-2 * nL + x * nL) + -1lnx = 1 (-2nL + nxL) + -1lnx = 1 Reorder the terms: -1lnx + -2nL + nxL = 1 Solving -1lnx + -2nL + nxL = 1 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '2nL' to each side of the equation. -1lnx + -2nL + 2nL + nxL = 1 + 2nL Combine like terms: -2nL + 2nL = 0 -1lnx + 0 + nxL = 1 + 2nL -1lnx + nxL = 1 + 2nL Add '-1nxL' to each side of the equation. -1lnx + nxL + -1nxL = 1 + 2nL + -1nxL Combine like terms: nxL + -1nxL = 0 -1lnx + 0 = 1 + 2nL + -1nxL -1lnx = 1 + 2nL + -1nxL Divide each side by '-1nx'. l = -1n-1x-1 + -2x-1L + L Simplifying l = -1n-1x-1 + -2x-1L + L Reorder the terms: l = L + -1n-1x-1 + -2x-1L
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