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Simplifying f(x) = 6xln(5x) + -6x Multiply f * x fx = 6xln(5x) + -6x Remove parenthesis around (5x) fx = 6lnx * 5x + -6x Reorder the terms for easier multiplication: fx = 6 * 5lnx * x + -6x Multiply 6 * 5 fx = 30lnx * x + -6x Multiply lnx * x fx = 30lnx2 + -6x Solving fx = 30lnx2 + -6x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 30lnx + -6 Simplifying f = 30lnx + -6 Reorder the terms: f = -6 + 30lnx
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