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Simplifying 18 + -7ln(2x + -5) = 4 Reorder the terms: 18 + -7ln(-5 + 2x) = 4 18 + (-5 * -7ln + 2x * -7ln) = 4 18 + (35ln + -14lnx) = 4 Solving 18 + 35ln + -14lnx = 4 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 35ln + -18 + -14lnx = 4 + -18 Reorder the terms: 18 + -18 + 35ln + -14lnx = 4 + -18 Combine like terms: 18 + -18 = 0 0 + 35ln + -14lnx = 4 + -18 35ln + -14lnx = 4 + -18 Combine like terms: 4 + -18 = -14 35ln + -14lnx = -14 Reorder the terms: 14 + 35ln + -14lnx = -14 + 14 Combine like terms: -14 + 14 = 0 14 + 35ln + -14lnx = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(2 + 5ln + -2lnx) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(2 + 5ln + -2lnx)' equal to zero and attempt to solve: Simplifying 2 + 5ln + -2lnx = 0 Solving 2 + 5ln + -2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 5ln + -2 + -2lnx = 0 + -2 Reorder the terms: 2 + -2 + 5ln + -2lnx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5ln + -2lnx = 0 + -2 5ln + -2lnx = 0 + -2 Combine like terms: 0 + -2 = -2 5ln + -2lnx = -2 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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