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Simplifying 3lnx + 8x + 3 = 0 Reorder the terms: 3 + 3lnx + 8x = 0 Solving 3 + 3lnx + 8x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 3lnx + -3 + 8x = 0 + -3 Reorder the terms: 3 + -3 + 3lnx + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3lnx + 8x = 0 + -3 3lnx + 8x = 0 + -3 Combine like terms: 0 + -3 = -3 3lnx + 8x = -3 Add '-8x' to each side of the equation. 3lnx + 8x + -8x = -3 + -8x Combine like terms: 8x + -8x = 0 3lnx + 0 = -3 + -8x 3lnx = -3 + -8x Divide each side by '3nx'. l = -1n-1x-1 + -2.666666667n-1 Simplifying l = -1n-1x-1 + -2.666666667n-1 Reorder the terms: l = -2.666666667n-1 + -1n-1x-1
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