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Simplifying ln(x) + 2x + 1 = 0 Multiply ln * x lnx + 2x + 1 = 0 Reorder the terms: 1 + lnx + 2x = 0 Solving 1 + lnx + 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 + lnx + -1 + 2x = 0 + -1 Reorder the terms: 1 + -1 + lnx + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + lnx + 2x = 0 + -1 lnx + 2x = 0 + -1 Combine like terms: 0 + -1 = -1 lnx + 2x = -1 Add '-2x' to each side of the equation. lnx + 2x + -2x = -1 + -2x Combine like terms: 2x + -2x = 0 lnx + 0 = -1 + -2x lnx = -1 + -2x Divide each side by 'nx'. l = -1n-1x-1 + -2n-1 Simplifying l = -1n-1x-1 + -2n-1 Reorder the terms: l = -2n-1 + -1n-1x-1
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