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Simplifying f(x) = 3x + -1lg(1 + 3x) Multiply f * x fx = 3x + -1lg(1 + 3x) fx = 3x + (1 * -1gl + 3x * -1gl) fx = 3x + (-1gl + -3glx) Reorder the terms: fx = -1gl + -3glx + 3x Solving fx = -1gl + -3glx + 3x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -1glx-1 + -3gl + 3 Simplifying f = -1glx-1 + -3gl + 3 Reorder the terms: f = 3 + -3gl + -1glx-1
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