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Simplifying -2x + 5 + 3ln(x) = 0 Multiply ln * x -2x + 5 + 3lnx = 0 Reorder the terms: 5 + 3lnx + -2x = 0 Solving 5 + 3lnx + -2x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3lnx + -5 + -2x = 0 + -5 Reorder the terms: 5 + -5 + 3lnx + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3lnx + -2x = 0 + -5 3lnx + -2x = 0 + -5 Combine like terms: 0 + -5 = -5 3lnx + -2x = -5 Add '2x' to each side of the equation. 3lnx + -2x + 2x = -5 + 2x Combine like terms: -2x + 2x = 0 3lnx + 0 = -5 + 2x 3lnx = -5 + 2x Divide each side by '3nx'. l = -1.666666667n-1x-1 + 0.6666666667n-1 Simplifying l = -1.666666667n-1x-1 + 0.6666666667n-1 Reorder the terms: l = 0.6666666667n-1 + -1.666666667n-1x-1
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