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Simplifying xln(5) + -5ln(5) = ln(16) + 3x + 2 Reorder the terms for easier multiplication: 5lnx + -5ln(5) = ln(16) + 3x + 2 Reorder the terms for easier multiplication: 5lnx + -5 * 5ln = ln(16) + 3x + 2 Multiply -5 * 5 5lnx + -25ln = ln(16) + 3x + 2 Reorder the terms: -25ln + 5lnx = ln(16) + 3x + 2 Reorder the terms for easier multiplication: -25ln + 5lnx = 16ln + 3x + 2 Reorder the terms: -25ln + 5lnx = 2 + 16ln + 3x Solving -25ln + 5lnx = 2 + 16ln + 3x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-16ln' to each side of the equation. -25ln + -16ln + 5lnx = 2 + 16ln + -16ln + 3x Combine like terms: -25ln + -16ln = -41ln -41ln + 5lnx = 2 + 16ln + -16ln + 3x Combine like terms: 16ln + -16ln = 0 -41ln + 5lnx = 2 + 0 + 3x -41ln + 5lnx = 2 + 3x Reorder the terms: -2 + -41ln + 5lnx + -3x = 2 + 3x + -2 + -3x Reorder the terms: -2 + -41ln + 5lnx + -3x = 2 + -2 + 3x + -3x Combine like terms: 2 + -2 = 0 -2 + -41ln + 5lnx + -3x = 0 + 3x + -3x -2 + -41ln + 5lnx + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -41ln + 5lnx + -3x = 0 The solution to this equation could not be determined.
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