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Simplifying 201 = 100ln(x + -15) + -1x Reorder the terms: 201 = 100ln(-15 + x) + -1x 201 = (-15 * 100ln + x * 100ln) + -1x 201 = (-1500ln + 100lnx) + -1x Solving 201 = -1500ln + 100lnx + -1x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '1500ln' to each side of the equation. 201 + 1500ln = -1500ln + 100lnx + 1500ln + -1x Reorder the terms: 201 + 1500ln = -1500ln + 1500ln + 100lnx + -1x Combine like terms: -1500ln + 1500ln = 0 201 + 1500ln = 0 + 100lnx + -1x 201 + 1500ln = 100lnx + -1x Add '-100lnx' to each side of the equation. 201 + 1500ln + -100lnx = 100lnx + -100lnx + -1x Combine like terms: 100lnx + -100lnx = 0 201 + 1500ln + -100lnx = 0 + -1x 201 + 1500ln + -100lnx = -1x Add '-201' to each side of the equation. 201 + 1500ln + -201 + -100lnx = -201 + -1x Reorder the terms: 201 + -201 + 1500ln + -100lnx = -201 + -1x Combine like terms: 201 + -201 = 0 0 + 1500ln + -100lnx = -201 + -1x 1500ln + -100lnx = -201 + -1x Reorder the terms: 201 + 1500ln + -100lnx + x = -201 + -1x + 201 + x Reorder the terms: 201 + 1500ln + -100lnx + x = -201 + 201 + -1x + x Combine like terms: -201 + 201 = 0 201 + 1500ln + -100lnx + x = 0 + -1x + x 201 + 1500ln + -100lnx + x = -1x + x Combine like terms: -1x + x = 0 201 + 1500ln + -100lnx + x = 0 The solution to this equation could not be determined.
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