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Simplifying 5.4 = 2 + -1x + 5ln(x + 1) Reorder the terms: 5.4 = 2 + -1x + 5ln(1 + x) 5.4 = 2 + -1x + (1 * 5ln + x * 5ln) 5.4 = 2 + -1x + (5ln + 5lnx) Reorder the terms: 5.4 = 2 + 5ln + 5lnx + -1x Solving 5.4 = 2 + 5ln + 5lnx + -1x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5ln' to each side of the equation. 5.4 + -5ln = 2 + 5ln + 5lnx + -5ln + -1x Reorder the terms: 5.4 + -5ln = 2 + 5ln + -5ln + 5lnx + -1x Combine like terms: 5ln + -5ln = 0 5.4 + -5ln = 2 + 0 + 5lnx + -1x 5.4 + -5ln = 2 + 5lnx + -1x Add '-5lnx' to each side of the equation. 5.4 + -5ln + -5lnx = 2 + 5lnx + -5lnx + -1x Combine like terms: 5lnx + -5lnx = 0 5.4 + -5ln + -5lnx = 2 + 0 + -1x 5.4 + -5ln + -5lnx = 2 + -1x Add '-5.4' to each side of the equation. 5.4 + -5ln + -5.4 + -5lnx = 2 + -5.4 + -1x Reorder the terms: 5.4 + -5.4 + -5ln + -5lnx = 2 + -5.4 + -1x Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -5ln + -5lnx = 2 + -5.4 + -1x -5ln + -5lnx = 2 + -5.4 + -1x Combine like terms: 2 + -5.4 = -3.4 -5ln + -5lnx = -3.4 + -1x Reorder the terms: 3.4 + -5ln + -5lnx + x = -3.4 + -1x + 3.4 + x Reorder the terms: 3.4 + -5ln + -5lnx + x = -3.4 + 3.4 + -1x + x Combine like terms: -3.4 + 3.4 = 0.0 3.4 + -5ln + -5lnx + x = 0.0 + -1x + x 3.4 + -5ln + -5lnx + x = -1x + x Combine like terms: -1x + x = 0 3.4 + -5ln + -5lnx + x = 0 The solution to this equation could not be determined.
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