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Simplifying ln(x2 + 5) + 0.5x + 1 = 0 Reorder the terms: ln(5 + x2) + 0.5x + 1 = 0 (5 * ln + x2 * ln) + 0.5x + 1 = 0 (5ln + lnx2) + 0.5x + 1 = 0 Reorder the terms: 1 + 5ln + lnx2 + 0.5x = 0 Solving 1 + 5ln + lnx2 + 0.5x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 5ln + lnx2 + -1 + 0.5x = 0 + -1 Reorder the terms: 1 + -1 + 5ln + lnx2 + 0.5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5ln + lnx2 + 0.5x = 0 + -1 5ln + lnx2 + 0.5x = 0 + -1 Combine like terms: 0 + -1 = -1 5ln + lnx2 + 0.5x = -1 Add '-0.5x' to each side of the equation. 5ln + lnx2 + 0.5x + -0.5x = -1 + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5ln + lnx2 + 0.0 = -1 + -0.5x 5ln + lnx2 = -1 + -0.5x Reorder the terms: 1 + 5ln + lnx2 + 0.5x = -1 + -0.5x + 1 + 0.5x Reorder the terms: 1 + 5ln + lnx2 + 0.5x = -1 + 1 + -0.5x + 0.5x Combine like terms: -1 + 1 = 0 1 + 5ln + lnx2 + 0.5x = 0 + -0.5x + 0.5x 1 + 5ln + lnx2 + 0.5x = -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 1 + 5ln + lnx2 + 0.5x = 0.0 The solution to this equation could not be determined.
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