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Simplifying lnx + ln(x + -12) = ln(2x + -45) Reorder the terms: lnx + ln(-12 + x) = ln(2x + -45) lnx + (-12 * ln + x * ln) = ln(2x + -45) lnx + (-12ln + lnx) = ln(2x + -45) Reorder the terms: -12ln + lnx + lnx = ln(2x + -45) Combine like terms: lnx + lnx = 2lnx -12ln + 2lnx = ln(2x + -45) Reorder the terms: -12ln + 2lnx = ln(-45 + 2x) -12ln + 2lnx = (-45 * ln + 2x * ln) -12ln + 2lnx = (-45ln + 2lnx) Add '-2lnx' to each side of the equation. -12ln + 2lnx + -2lnx = -45ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -12ln + 0 = -45ln + 2lnx + -2lnx -12ln = -45ln + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -12ln = -45ln + 0 -12ln = -45ln Solving -12ln = -45ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '45ln' to each side of the equation. -12ln + 45ln = -45ln + 45ln Combine like terms: -12ln + 45ln = 33ln 33ln = -45ln + 45ln Combine like terms: -45ln + 45ln = 0 33ln = 0 Divide each side by '33'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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