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Simplifying 0.45 = ln(x) + -0.7x Multiply ln * x 0.45 = lnx + -0.7x Solving 0.45 = lnx + -0.7x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1lnx' to each side of the equation. 0.45 + -1lnx = lnx + -1lnx + -0.7x Combine like terms: lnx + -1lnx = 0 0.45 + -1lnx = 0 + -0.7x 0.45 + -1lnx = -0.7x Add '-0.45' to each side of the equation. 0.45 + -0.45 + -1lnx = -0.45 + -0.7x Combine like terms: 0.45 + -0.45 = 0.00 0.00 + -1lnx = -0.45 + -0.7x -1lnx = -0.45 + -0.7x Divide each side by '-1nx'. l = 0.45n-1x-1 + 0.7n-1 Simplifying l = 0.45n-1x-1 + 0.7n-1 Reorder the terms: l = 0.7n-1 + 0.45n-1x-1
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