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