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Simplifying 8ln(7x + 1) + -9 = 7 Reorder the terms: 8ln(1 + 7x) + -9 = 7 (1 * 8ln + 7x * 8ln) + -9 = 7 (8ln + 56lnx) + -9 = 7 Reorder the terms: -9 + 8ln + 56lnx = 7 Solving -9 + 8ln + 56lnx = 7 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 8ln + 9 + 56lnx = 7 + 9 Reorder the terms: -9 + 9 + 8ln + 56lnx = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 8ln + 56lnx = 7 + 9 8ln + 56lnx = 7 + 9 Combine like terms: 7 + 9 = 16 8ln + 56lnx = 16 Reorder the terms: -16 + 8ln + 56lnx = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 8ln + 56lnx = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-2 + ln + 7lnx) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-2 + ln + 7lnx)' equal to zero and attempt to solve: Simplifying -2 + ln + 7lnx = 0 Solving -2 + ln + 7lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + ln + 2 + 7lnx = 0 + 2 Reorder the terms: -2 + 2 + ln + 7lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + ln + 7lnx = 0 + 2 ln + 7lnx = 0 + 2 Combine like terms: 0 + 2 = 2 ln + 7lnx = 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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