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Simplifying f(x) = x2 + 9x + -1f(x + 6) Multiply f * x fx = x2 + 9x + -1f(x + 6) Reorder the terms: fx = x2 + 9x + -1f(6 + x) fx = x2 + 9x + (6 * -1f + x * -1f) fx = x2 + 9x + (-6f + -1fx) Reorder the terms: fx = -6f + -1fx + 9x + x2 Solving fx = -6f + -1fx + 9x + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '6f' to each side of the equation. 6f + fx = -6f + -1fx + 9x + 6f + x2 Reorder the terms: 6f + fx = -6f + 6f + -1fx + 9x + x2 Combine like terms: -6f + 6f = 0 6f + fx = 0 + -1fx + 9x + x2 6f + fx = -1fx + 9x + x2 Add 'fx' to each side of the equation. 6f + fx + fx = -1fx + 9x + fx + x2 Combine like terms: fx + fx = 2fx 6f + 2fx = -1fx + 9x + fx + x2 Reorder the terms: 6f + 2fx = -1fx + fx + 9x + x2 Combine like terms: -1fx + fx = 0 6f + 2fx = 0 + 9x + x2 6f + 2fx = 9x + x2 Reorder the terms: 6f + 2fx + -9x + -1x2 = 9x + -9x + x2 + -1x2 Combine like terms: 9x + -9x = 0 6f + 2fx + -9x + -1x2 = 0 + x2 + -1x2 6f + 2fx + -9x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6f + 2fx + -9x + -1x2 = 0 The solution to this equation could not be determined.
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