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Simplifying (6x) * ln(7x) + -6x = 0 Remove parenthesis around (6x) 6x * ln(7x) + -6x = 0 Remove parenthesis around (7x) 6x * ln * 7x + -6x = 0 Reorder the terms for easier multiplication: 6 * 7x * ln * x + -6x = 0 Multiply 6 * 7 42x * ln * x + -6x = 0 Multiply x * ln 42lnx * x + -6x = 0 Multiply lnx * x 42lnx2 + -6x = 0 Solving 42lnx2 + -6x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '6x' to each side of the equation. 42lnx2 + -6x + 6x = 0 + 6x Combine like terms: -6x + 6x = 0 42lnx2 + 0 = 0 + 6x 42lnx2 = 0 + 6x Remove the zero: 42lnx2 = 6x Divide each side by '42nx2'. l = 0.1428571429n-1x-1 Simplifying l = 0.1428571429n-1x-1
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