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Simplifying ln(x + -3) + (x + 4) = 3ln Reorder the terms: ln(-3 + x) + (x + 4) = 3ln (-3 * ln + x * ln) + (x + 4) = 3ln (-3ln + lnx) + (x + 4) = 3ln Reorder the terms: -3ln + lnx + (4 + x) = 3ln Remove parenthesis around (4 + x) -3ln + lnx + 4 + x = 3ln Reorder the terms: 4 + -3ln + lnx + x = 3ln Solving 4 + -3ln + lnx + x = 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. 4 + -3ln + lnx + -3ln + x = 3ln + -3ln Reorder the terms: 4 + -3ln + -3ln + lnx + x = 3ln + -3ln Combine like terms: -3ln + -3ln = -6ln 4 + -6ln + lnx + x = 3ln + -3ln Combine like terms: 3ln + -3ln = 0 4 + -6ln + lnx + x = 0 Add '-4' to each side of the equation. 4 + -6ln + lnx + -4 + x = 0 + -4 Reorder the terms: 4 + -4 + -6ln + lnx + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -6ln + lnx + x = 0 + -4 -6ln + lnx + x = 0 + -4 Combine like terms: 0 + -4 = -4 -6ln + lnx + x = -4 Add '-1x' to each side of the equation. -6ln + lnx + x + -1x = -4 + -1x Combine like terms: x + -1x = 0 -6ln + lnx + 0 = -4 + -1x -6ln + lnx = -4 + -1x Reorder the terms: 4 + -6ln + lnx + x = -4 + -1x + 4 + x Reorder the terms: 4 + -6ln + lnx + x = -4 + 4 + -1x + x Combine like terms: -4 + 4 = 0 4 + -6ln + lnx + x = 0 + -1x + x 4 + -6ln + lnx + x = -1x + x Combine like terms: -1x + x = 0 4 + -6ln + lnx + x = 0 The solution to this equation could not be determined.
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