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Simplifying (6x + -1) + ln(x) = ln(4) Reorder the terms: (-1 + 6x) + ln(x) = ln(4) Remove parenthesis around (-1 + 6x) -1 + 6x + ln(x) = ln(4) Multiply ln * x -1 + 6x + lnx = ln(4) Reorder the terms: -1 + lnx + 6x = ln(4) Reorder the terms for easier multiplication: -1 + lnx + 6x = 4ln Solving -1 + lnx + 6x = 4ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4ln' to each side of the equation. -1 + lnx + -4ln + 6x = 4ln + -4ln Reorder the terms: -1 + -4ln + lnx + 6x = 4ln + -4ln Combine like terms: 4ln + -4ln = 0 -1 + -4ln + lnx + 6x = 0 Add '1' to each side of the equation. -1 + -4ln + lnx + 1 + 6x = 0 + 1 Reorder the terms: -1 + 1 + -4ln + lnx + 6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4ln + lnx + 6x = 0 + 1 -4ln + lnx + 6x = 0 + 1 Combine like terms: 0 + 1 = 1 -4ln + lnx + 6x = 1 Add '-6x' to each side of the equation. -4ln + lnx + 6x + -6x = 1 + -6x Combine like terms: 6x + -6x = 0 -4ln + lnx + 0 = 1 + -6x -4ln + lnx = 1 + -6x Reorder the terms: -1 + -4ln + lnx + 6x = 1 + -6x + -1 + 6x Reorder the terms: -1 + -4ln + lnx + 6x = 1 + -1 + -6x + 6x Combine like terms: 1 + -1 = 0 -1 + -4ln + lnx + 6x = 0 + -6x + 6x -1 + -4ln + lnx + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 -1 + -4ln + lnx + 6x = 0 The solution to this equation could not be determined.
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