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Simplifying 3ln * 2 + ln(x + -5) = ln * 120 Reorder the terms for easier multiplication: 3 * 2ln + ln(x + -5) = ln * 120 Multiply 3 * 2 6ln + ln(x + -5) = ln * 120 Reorder the terms: 6ln + ln(-5 + x) = ln * 120 6ln + (-5 * ln + x * ln) = ln * 120 6ln + (-5ln + lnx) = ln * 120 Combine like terms: 6ln + -5ln = 1ln 1ln + lnx = ln * 120 Reorder the terms for easier multiplication: 1ln + lnx = 120ln Solving 1ln + lnx = 120ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-120ln' to each side of the equation. 1ln + -120ln + lnx = 120ln + -120ln Combine like terms: 1ln + -120ln = -119ln -119ln + lnx = 120ln + -120ln Combine like terms: 120ln + -120ln = 0 -119ln + lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-119 + x) = 0Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-119 + x)' equal to zero and attempt to solve: Simplifying -119 + x = 0 Solving -119 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '119' to each side of the equation. -119 + 119 + x = 0 + 119 Combine like terms: -119 + 119 = 0 0 + x = 0 + 119 x = 0 + 119 Combine like terms: 0 + 119 = 119 x = 119 Add '-1x' to each side of the equation. x + -1x = 119 + -1x Combine like terms: x + -1x = 0 0 = 119 + -1x Simplifying 0 = 119 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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