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Simplifying 14 + 2ln(x + -7) = 28 Reorder the terms: 14 + 2ln(-7 + x) = 28 14 + (-7 * 2ln + x * 2ln) = 28 14 + (-14ln + 2lnx) = 28 Solving 14 + -14ln + 2lnx = 28 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14ln + -14 + 2lnx = 28 + -14 Reorder the terms: 14 + -14 + -14ln + 2lnx = 28 + -14 Combine like terms: 14 + -14 = 0 0 + -14ln + 2lnx = 28 + -14 -14ln + 2lnx = 28 + -14 Combine like terms: 28 + -14 = 14 -14ln + 2lnx = 14 Reorder the terms: -14 + -14ln + 2lnx = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + -14ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + -7ln + lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -7ln + lnx)' equal to zero and attempt to solve: Simplifying -7 + -7ln + lnx = 0 Solving -7 + -7ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -7ln + 7 + lnx = 0 + 7 Reorder the terms: -7 + 7 + -7ln + lnx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -7ln + lnx = 0 + 7 -7ln + lnx = 0 + 7 Combine like terms: 0 + 7 = 7 -7ln + lnx = 7 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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