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Simplifying 1500 = 461.87 + 299.4ln(x + 1) Reorder the terms: 1500 = 461.87 + 299.4ln(1 + x) 1500 = 461.87 + (1 * 299.4ln + x * 299.4ln) 1500 = 461.87 + (299.4ln + 299.4lnx) Solving 1500 = 461.87 + 299.4ln + 299.4lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-299.4ln' to each side of the equation. 1500 + -299.4ln = 461.87 + 299.4ln + -299.4ln + 299.4lnx Combine like terms: 299.4ln + -299.4ln = 0.0 1500 + -299.4ln = 461.87 + 0.0 + 299.4lnx 1500 + -299.4ln = 461.87 + 299.4lnx Add '-299.4lnx' to each side of the equation. 1500 + -299.4ln + -299.4lnx = 461.87 + 299.4lnx + -299.4lnx Combine like terms: 299.4lnx + -299.4lnx = 0.0 1500 + -299.4ln + -299.4lnx = 461.87 + 0.0 1500 + -299.4ln + -299.4lnx = 461.87 Add '-1500' to each side of the equation. 1500 + -299.4ln + -1500 + -299.4lnx = 461.87 + -1500 Reorder the terms: 1500 + -1500 + -299.4ln + -299.4lnx = 461.87 + -1500 Combine like terms: 1500 + -1500 = 0 0 + -299.4ln + -299.4lnx = 461.87 + -1500 -299.4ln + -299.4lnx = 461.87 + -1500 Combine like terms: 461.87 + -1500 = -1038.13 -299.4ln + -299.4lnx = -1038.13 Reorder the terms: 1038.13 + -299.4ln + -299.4lnx = -1038.13 + 1038.13 Combine like terms: -1038.13 + 1038.13 = 0.00 1038.13 + -299.4ln + -299.4lnx = 0.00 The solution to this equation could not be determined.
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