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Simplifying 4.4 = -0.5ln(1 + -1x) + 0.5x 4.4 = (1 * -0.5ln + -1x * -0.5ln) + 0.5x 4.4 = (-0.5ln + 0.5lnx) + 0.5x Solving 4.4 = -0.5ln + 0.5lnx + 0.5x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '0.5ln' to each side of the equation. 4.4 + 0.5ln = -0.5ln + 0.5lnx + 0.5ln + 0.5x Reorder the terms: 4.4 + 0.5ln = -0.5ln + 0.5ln + 0.5lnx + 0.5x Combine like terms: -0.5ln + 0.5ln = 0.0 4.4 + 0.5ln = 0.0 + 0.5lnx + 0.5x 4.4 + 0.5ln = 0.5lnx + 0.5x Add '-0.5lnx' to each side of the equation. 4.4 + 0.5ln + -0.5lnx = 0.5lnx + -0.5lnx + 0.5x Combine like terms: 0.5lnx + -0.5lnx = 0.0 4.4 + 0.5ln + -0.5lnx = 0.0 + 0.5x 4.4 + 0.5ln + -0.5lnx = 0.5x Add '-4.4' to each side of the equation. 4.4 + 0.5ln + -4.4 + -0.5lnx = -4.4 + 0.5x Reorder the terms: 4.4 + -4.4 + 0.5ln + -0.5lnx = -4.4 + 0.5x Combine like terms: 4.4 + -4.4 = 0.0 0.0 + 0.5ln + -0.5lnx = -4.4 + 0.5x 0.5ln + -0.5lnx = -4.4 + 0.5x Reorder the terms: 4.4 + 0.5ln + -0.5lnx + -0.5x = -4.4 + 0.5x + 4.4 + -0.5x Reorder the terms: 4.4 + 0.5ln + -0.5lnx + -0.5x = -4.4 + 4.4 + 0.5x + -0.5x Combine like terms: -4.4 + 4.4 = 0.0 4.4 + 0.5ln + -0.5lnx + -0.5x = 0.0 + 0.5x + -0.5x 4.4 + 0.5ln + -0.5lnx + -0.5x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 4.4 + 0.5ln + -0.5lnx + -0.5x = 0.0 The solution to this equation could not be determined.
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