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Simplifying 0 = -2x + 5 + 3ln(x + 1) Reorder the terms: 0 = -2x + 5 + 3ln(1 + x) 0 = -2x + 5 + (1 * 3ln + x * 3ln) 0 = -2x + 5 + (3ln + 3lnx) Reorder the terms: 0 = 5 + 3ln + 3lnx + -2x Solving 0 = 5 + 3ln + 3lnx + -2x 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. 0 + -3ln = 5 + 3ln + 3lnx + -3ln + -2x Remove the zero: -3ln = 5 + 3ln + 3lnx + -3ln + -2x Reorder the terms: -3ln = 5 + 3ln + -3ln + 3lnx + -2x Combine like terms: 3ln + -3ln = 0 -3ln = 5 + 0 + 3lnx + -2x -3ln = 5 + 3lnx + -2x Add '-3lnx' to each side of the equation. -3ln + -3lnx = 5 + 3lnx + -3lnx + -2x Combine like terms: 3lnx + -3lnx = 0 -3ln + -3lnx = 5 + 0 + -2x -3ln + -3lnx = 5 + -2x Reorder the terms: -5 + -3ln + -3lnx + 2x = 5 + -2x + -5 + 2x Reorder the terms: -5 + -3ln + -3lnx + 2x = 5 + -5 + -2x + 2x Combine like terms: 5 + -5 = 0 -5 + -3ln + -3lnx + 2x = 0 + -2x + 2x -5 + -3ln + -3lnx + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -5 + -3ln + -3lnx + 2x = 0 The solution to this equation could not be determined.
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