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Simplifying x2 + -7x + 5lnx + 8 = 0 Reorder the terms: 8 + 5lnx + -7x + x2 = 0 Solving 8 + 5lnx + -7x + x2 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 5lnx + -7x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + 5lnx + -7x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5lnx + -7x + x2 = 0 + -8 5lnx + -7x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 5lnx + -7x + x2 = -8 Add '7x' to each side of the equation. 5lnx + -7x + 7x + x2 = -8 + 7x Combine like terms: -7x + 7x = 0 5lnx + 0 + x2 = -8 + 7x 5lnx + x2 = -8 + 7x Add '-1x2' to each side of the equation. 5lnx + x2 + -1x2 = -8 + 7x + -1x2 Combine like terms: x2 + -1x2 = 0 5lnx + 0 = -8 + 7x + -1x2 5lnx = -8 + 7x + -1x2 Divide each side by '5nx'. l = -1.6n-1x-1 + 1.4n-1 + -0.2n-1x Simplifying l = -1.6n-1x-1 + 1.4n-1 + -0.2n-1x Reorder the terms: l = 1.4n-1 + -1.6n-1x-1 + -0.2n-1x
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