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Simplifying 6ln(7x + -4) + 1 = 19 Reorder the terms: 6ln(-4 + 7x) + 1 = 19 (-4 * 6ln + 7x * 6ln) + 1 = 19 (-24ln + 42lnx) + 1 = 19 Reorder the terms: 1 + -24ln + 42lnx = 19 Solving 1 + -24ln + 42lnx = 19 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -24ln + -1 + 42lnx = 19 + -1 Reorder the terms: 1 + -1 + -24ln + 42lnx = 19 + -1 Combine like terms: 1 + -1 = 0 0 + -24ln + 42lnx = 19 + -1 -24ln + 42lnx = 19 + -1 Combine like terms: 19 + -1 = 18 -24ln + 42lnx = 18 Reorder the terms: -18 + -24ln + 42lnx = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + -24ln + 42lnx = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-3 + -4ln + 7lnx) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-3 + -4ln + 7lnx)' equal to zero and attempt to solve: Simplifying -3 + -4ln + 7lnx = 0 Solving -3 + -4ln + 7lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -4ln + 3 + 7lnx = 0 + 3 Reorder the terms: -3 + 3 + -4ln + 7lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4ln + 7lnx = 0 + 3 -4ln + 7lnx = 0 + 3 Combine like terms: 0 + 3 = 3 -4ln + 7lnx = 3 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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