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Simplifying ln(y + -4) + -1ln(7) = x + ln(x) Reorder the terms: ln(-4 + y) + -1ln(7) = x + ln(x) (-4 * ln + y * ln) + -1ln(7) = x + ln(x) (-4ln + lny) + -1ln(7) = x + ln(x) Reorder the terms for easier multiplication: -4ln + lny + -1 * 7ln = x + ln(x) Multiply -1 * 7 -4ln + lny + -7ln = x + ln(x) Reorder the terms: -4ln + -7ln + lny = x + ln(x) Combine like terms: -4ln + -7ln = -11ln -11ln + lny = x + ln(x) Multiply ln * x -11ln + lny = x + lnx Reorder the terms: -11ln + lny = lnx + x Solving -11ln + lny = lnx + x 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. -11ln + -1lnx + lny = lnx + -1lnx + x Combine like terms: lnx + -1lnx = 0 -11ln + -1lnx + lny = 0 + x -11ln + -1lnx + lny = x Combine like terms: x + -1x = 0 -11ln + -1lnx + lny + -1x = 0 The solution to this equation could not be determined.
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