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Simplifying (2x + -1) + ln(x + -5) + -1ln(x + 9) = 0 Reorder the terms: (-1 + 2x) + ln(x + -5) + -1ln(x + 9) = 0 Remove parenthesis around (-1 + 2x) -1 + 2x + ln(x + -5) + -1ln(x + 9) = 0 Reorder the terms: -1 + 2x + ln(-5 + x) + -1ln(x + 9) = 0 -1 + 2x + (-5 * ln + x * ln) + -1ln(x + 9) = 0 -1 + 2x + (-5ln + lnx) + -1ln(x + 9) = 0 Reorder the terms: -1 + 2x + -5ln + lnx + -1ln(9 + x) = 0 -1 + 2x + -5ln + lnx + (9 * -1ln + x * -1ln) = 0 -1 + 2x + -5ln + lnx + (-9ln + -1lnx) = 0 Reorder the terms: -1 + -5ln + -9ln + lnx + -1lnx + 2x = 0 Combine like terms: -5ln + -9ln = -14ln -1 + -14ln + lnx + -1lnx + 2x = 0 Combine like terms: lnx + -1lnx = 0 -1 + -14ln + 0 + 2x = 0 -1 + -14ln + 2x = 0 Solving -1 + -14ln + 2x = 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 + -14ln + 1 + 2x = 0 + 1 Reorder the terms: -1 + 1 + -14ln + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -14ln + 2x = 0 + 1 -14ln + 2x = 0 + 1 Combine like terms: 0 + 1 = 1 -14ln + 2x = 1 Add '-2x' to each side of the equation. -14ln + 2x + -2x = 1 + -2x Combine like terms: 2x + -2x = 0 -14ln + 0 = 1 + -2x -14ln = 1 + -2x Divide each side by '-14n'. l = -0.07142857143n-1 + 0.1428571429n-1x Simplifying l = -0.07142857143n-1 + 0.1428571429n-1x
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