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Simplifying 4 = ln(6x + 7) Reorder the terms: 4 = ln(7 + 6x) 4 = (7 * ln + 6x * ln) 4 = (7ln + 6lnx) Solving 4 = 7ln + 6lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-7ln' to each side of the equation. 4 + -7ln = 7ln + -7ln + 6lnx Combine like terms: 7ln + -7ln = 0 4 + -7ln = 0 + 6lnx 4 + -7ln = 6lnx Add '-6lnx' to each side of the equation. 4 + -7ln + -6lnx = 6lnx + -6lnx Combine like terms: 6lnx + -6lnx = 0 4 + -7ln + -6lnx = 0 Add '-4' to each side of the equation. 4 + -7ln + -4 + -6lnx = 0 + -4 Reorder the terms: 4 + -4 + -7ln + -6lnx = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7ln + -6lnx = 0 + -4 -7ln + -6lnx = 0 + -4 Combine like terms: 0 + -4 = -4 -7ln + -6lnx = -4 Reorder the terms: 4 + -7ln + -6lnx = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -7ln + -6lnx = 0 The solution to this equation could not be determined.
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