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Simplifying f(x) = x2 + 5f(x + -3) Multiply f * x fx = x2 + 5f(x + -3) Reorder the terms: fx = x2 + 5f(-3 + x) fx = x2 + (-3 * 5f + x * 5f) fx = x2 + (-15f + 5fx) Reorder the terms: fx = -15f + 5fx + x2 Solving fx = -15f + 5fx + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '15f' to each side of the equation. 15f + fx = -15f + 5fx + 15f + x2 Reorder the terms: 15f + fx = -15f + 15f + 5fx + x2 Combine like terms: -15f + 15f = 0 15f + fx = 0 + 5fx + x2 15f + fx = 5fx + x2 Add '-5fx' to each side of the equation. 15f + fx + -5fx = 5fx + -5fx + x2 Combine like terms: fx + -5fx = -4fx 15f + -4fx = 5fx + -5fx + x2 Combine like terms: 5fx + -5fx = 0 15f + -4fx = 0 + x2 15f + -4fx = x2 Combine like terms: x2 + -1x2 = 0 15f + -4fx + -1x2 = 0 The solution to this equation could not be determined.
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