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Simplifying f(x) = 5xln(6x) + -5x Multiply f * x fx = 5xln(6x) + -5x Remove parenthesis around (6x) fx = 5lnx * 6x + -5x Reorder the terms for easier multiplication: fx = 5 * 6lnx * x + -5x Multiply 5 * 6 fx = 30lnx * x + -5x Multiply lnx * x fx = 30lnx2 + -5x Solving fx = 30lnx2 + -5x 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 + -5 Simplifying f = 30lnx + -5 Reorder the terms: f = -5 + 30lnx
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