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Simplifying 5x + -3xln(3) = 2 + ln(3) Reorder the terms for easier multiplication: 5x + -3 * 3lnx = 2 + ln(3) Multiply -3 * 3 5x + -9lnx = 2 + ln(3) Reorder the terms: -9lnx + 5x = 2 + ln(3) Reorder the terms for easier multiplication: -9lnx + 5x = 2 + 3ln Solving -9lnx + 5x = 2 + 3ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3ln' to each side of the equation. -9lnx + -3ln + 5x = 2 + 3ln + -3ln Reorder the terms: -3ln + -9lnx + 5x = 2 + 3ln + -3ln Combine like terms: 3ln + -3ln = 0 -3ln + -9lnx + 5x = 2 + 0 -3ln + -9lnx + 5x = 2 Add '-5x' to each side of the equation. -3ln + -9lnx + 5x + -5x = 2 + -5x Combine like terms: 5x + -5x = 0 -3ln + -9lnx + 0 = 2 + -5x -3ln + -9lnx = 2 + -5x Reorder the terms: -2 + -3ln + -9lnx + 5x = 2 + -5x + -2 + 5x Reorder the terms: -2 + -3ln + -9lnx + 5x = 2 + -2 + -5x + 5x Combine like terms: 2 + -2 = 0 -2 + -3ln + -9lnx + 5x = 0 + -5x + 5x -2 + -3ln + -9lnx + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 -2 + -3ln + -9lnx + 5x = 0 The solution to this equation could not be determined.
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