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Simplifying ln(4)(x + -1) = ln(2)(2x + 4) Reorder the terms: ln * 4(-1 + x) = ln(2)(2x + 4) Reorder the terms for easier multiplication: 4ln(-1 + x) = ln(2)(2x + 4) (-1 * 4ln + x * 4ln) = ln(2)(2x + 4) (-4ln + 4lnx) = ln(2)(2x + 4) Reorder the terms: -4ln + 4lnx = ln * 2(4 + 2x) Reorder the terms for easier multiplication: -4ln + 4lnx = 2ln(4 + 2x) -4ln + 4lnx = (4 * 2ln + 2x * 2ln) -4ln + 4lnx = (8ln + 4lnx) Add '-4lnx' to each side of the equation. -4ln + 4lnx + -4lnx = 8ln + 4lnx + -4lnx Combine like terms: 4lnx + -4lnx = 0 -4ln + 0 = 8ln + 4lnx + -4lnx -4ln = 8ln + 4lnx + -4lnx Combine like terms: 4lnx + -4lnx = 0 -4ln = 8ln + 0 -4ln = 8ln Solving -4ln = 8ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-8ln' to each side of the equation. -4ln + -8ln = 8ln + -8ln Combine like terms: -4ln + -8ln = -12ln -12ln = 8ln + -8ln Combine like terms: 8ln + -8ln = 0 -12ln = 0 Divide each side by '-12'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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