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Simplifying 42x5 * lnx + 7x6 + 6x5 = 0 Multiply x5 * lnx 42lnx6 + 7x6 + 6x5 = 0 Reorder the terms: 42lnx6 + 6x5 + 7x6 = 0 Solving 42lnx6 + 6x5 + 7x6 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6x5' to each side of the equation. 42lnx6 + 6x5 + -6x5 + 7x6 = 0 + -6x5 Combine like terms: 6x5 + -6x5 = 0 42lnx6 + 0 + 7x6 = 0 + -6x5 42lnx6 + 7x6 = 0 + -6x5 Remove the zero: 42lnx6 + 7x6 = -6x5 Add '-7x6' to each side of the equation. 42lnx6 + 7x6 + -7x6 = -6x5 + -7x6 Combine like terms: 7x6 + -7x6 = 0 42lnx6 + 0 = -6x5 + -7x6 42lnx6 = -6x5 + -7x6 Divide each side by '42nx6'. l = -0.1428571429n-1x-1 + -0.1666666667n-1 Simplifying l = -0.1428571429n-1x-1 + -0.1666666667n-1 Reorder the terms: l = -0.1666666667n-1 + -0.1428571429n-1x-1
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