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