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Simplifying ln(x + 3) + (x + 5) = 0 Reorder the terms: ln(3 + x) + (x + 5) = 0 (3 * ln + x * ln) + (x + 5) = 0 (3ln + lnx) + (x + 5) = 0 Reorder the terms: 3ln + lnx + (5 + x) = 0 Remove parenthesis around (5 + x) 3ln + lnx + 5 + x = 0 Reorder the terms: 5 + 3ln + lnx + x = 0 Solving 5 + 3ln + lnx + x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3ln + lnx + -5 + x = 0 + -5 Reorder the terms: 5 + -5 + 3ln + lnx + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3ln + lnx + x = 0 + -5 3ln + lnx + x = 0 + -5 Combine like terms: 0 + -5 = -5 3ln + lnx + x = -5 Add '-1x' to each side of the equation. 3ln + lnx + x + -1x = -5 + -1x Combine like terms: x + -1x = 0 3ln + lnx + 0 = -5 + -1x 3ln + lnx = -5 + -1x Reorder the terms: 5 + 3ln + lnx + x = -5 + -1x + 5 + x Reorder the terms: 5 + 3ln + lnx + x = -5 + 5 + -1x + x Combine like terms: -5 + 5 = 0 5 + 3ln + lnx + x = 0 + -1x + x 5 + 3ln + lnx + x = -1x + x Combine like terms: -1x + x = 0 5 + 3ln + lnx + x = 0 The solution to this equation could not be determined.
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