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Simplifying f(x) = 3x2 + 4f(3x) Multiply f * x fx = 3x2 + 4f(3x) Remove parenthesis around (3x) fx = 3x2 + 4f * 3x Reorder the terms for easier multiplication: fx = 3x2 + 4 * 3f * x Multiply 4 * 3 fx = 3x2 + 12f * x Multiply f * x fx = 3x2 + 12fx Reorder the terms: fx = 12fx + 3x2 Solving fx = 12fx + 3x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12fx' to each side of the equation. fx + -12fx = 12fx + -12fx + 3x2 Combine like terms: fx + -12fx = -11fx -11fx = 12fx + -12fx + 3x2 Combine like terms: 12fx + -12fx = 0 -11fx = 0 + 3x2 -11fx = 3x2 Divide each side by '-11x'. f = -0.2727272727x Simplifying f = -0.2727272727x
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