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Simplifying -0.1x + ln(x + 2) + 0.5 = 0 Reorder the terms: -0.1x + ln(2 + x) + 0.5 = 0 -0.1x + (2 * ln + x * ln) + 0.5 = 0 -0.1x + (2ln + lnx) + 0.5 = 0 Reorder the terms: 0.5 + 2ln + lnx + -0.1x = 0 Solving 0.5 + 2ln + lnx + -0.1x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + 2ln + lnx + -0.5 + -0.1x = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 2ln + lnx + -0.1x = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 2ln + lnx + -0.1x = 0 + -0.5 2ln + lnx + -0.1x = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 2ln + lnx + -0.1x = -0.5 Add '0.1x' to each side of the equation. 2ln + lnx + -0.1x + 0.1x = -0.5 + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 2ln + lnx + 0.0 = -0.5 + 0.1x 2ln + lnx = -0.5 + 0.1x Reorder the terms: 0.5 + 2ln + lnx + -0.1x = -0.5 + 0.1x + 0.5 + -0.1x Reorder the terms: 0.5 + 2ln + lnx + -0.1x = -0.5 + 0.5 + 0.1x + -0.1x Combine like terms: -0.5 + 0.5 = 0.0 0.5 + 2ln + lnx + -0.1x = 0.0 + 0.1x + -0.1x 0.5 + 2ln + lnx + -0.1x = 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 0.5 + 2ln + lnx + -0.1x = 0.0 The solution to this equation could not be determined.
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