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Simplifying Ln(x + -1) + -1(ln * x) = 3 + (ln * 3) Reorder the terms: nL(-1 + x) + -1(ln * x) = 3 + (ln * 3) (-1 * nL + x * nL) + -1(ln * x) = 3 + (ln * 3) (-1nL + nxL) + -1(ln * x) = 3 + (ln * 3) Multiply ln * x -1nL + nxL + -1(lnx) = 3 + (ln * 3) Reorder the terms: -1lnx + -1nL + nxL = 3 + (ln * 3) Reorder the terms for easier multiplication: -1lnx + -1nL + nxL = 3 + (3ln) Solving -1lnx + -1nL + nxL = 3 + (3ln) Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '(-3ln)' to each side of the equation. -1lnx + -1nL + (-3ln) + nxL = 3 + (3ln) + (-3ln) Reorder the terms: (-3ln) + -1lnx + -1nL + nxL = 3 + (3ln) + (-3ln) Combine like terms: (3ln) + (-3ln) = 0 (-3ln) + -1lnx + -1nL + nxL = 3 + 0 (-3ln) + -1lnx + -1nL + nxL = 3 Add 'nL' to each side of the equation. (-3ln) + -1lnx + -1nL + nL + nxL = 3 + nL Combine like terms: -1nL + nL = 0 (-3ln) + -1lnx + 0 + nxL = 3 + nL (-3ln) + -1lnx + nxL = 3 + nL Add '-1nxL' to each side of the equation. (-3ln) + -1lnx + nxL + -1nxL = 3 + nL + -1nxL Combine like terms: nxL + -1nxL = 0 (-3ln) + -1lnx + 0 = 3 + nL + -1nxL (-3ln) + -1lnx = 3 + nL + -1nxL Reorder the terms: -3 + (-3ln) + -1lnx + -1nL + nxL = 3 + nL + -1nxL + -3 + -1nL + nxL Reorder the terms: -3 + (-3ln) + -1lnx + -1nL + nxL = 3 + -3 + nL + -1nL + -1nxL + nxL Combine like terms: 3 + -3 = 0 -3 + (-3ln) + -1lnx + -1nL + nxL = 0 + nL + -1nL + -1nxL + nxL -3 + (-3ln) + -1lnx + -1nL + nxL = nL + -1nL + -1nxL + nxL Combine like terms: nL + -1nL = 0 -3 + (-3ln) + -1lnx + -1nL + nxL = 0 + -1nxL + nxL -3 + (-3ln) + -1lnx + -1nL + nxL = -1nxL + nxL Combine like terms: -1nxL + nxL = 0 -3 + (-3ln) + -1lnx + -1nL + nxL = 0 The solution to this equation could not be determined.
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