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Simplifying ln(x + -3) + ln(x + 3) = ln(-8x) Reorder the terms: ln(-3 + x) + ln(x + 3) = ln(-8x) (-3 * ln + x * ln) + ln(x + 3) = ln(-8x) (-3ln + lnx) + ln(x + 3) = ln(-8x) Reorder the terms: -3ln + lnx + ln(3 + x) = ln(-8x) -3ln + lnx + (3 * ln + x * ln) = ln(-8x) -3ln + lnx + (3ln + lnx) = ln(-8x) Reorder the terms: -3ln + 3ln + lnx + lnx = ln(-8x) Combine like terms: -3ln + 3ln = 0 0 + lnx + lnx = ln(-8x) lnx + lnx = ln(-8x) Combine like terms: lnx + lnx = 2lnx 2lnx = ln(-8x) Remove parenthesis around (-8x) 2lnx = ln * -8x Reorder the terms for easier multiplication: 2lnx = -8ln * x Multiply ln * x 2lnx = -8lnx Solving 2lnx = -8lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '8lnx' to each side of the equation. 2lnx + 8lnx = -8lnx + 8lnx Combine like terms: 2lnx + 8lnx = 10lnx 10lnx = -8lnx + 8lnx Combine like terms: -8lnx + 8lnx = 0 10lnx = 0 Divide each side by '10'. lnx = 0.0 Simplifying lnx = 0.0 The solution to this equation could not be determined.
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