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Simplifying f(x) = f(x + -1) + 8 Multiply f * x fx = f(x + -1) + 8 Reorder the terms: fx = f(-1 + x) + 8 fx = (-1 * f + x * f) + 8 fx = (-1f + fx) + 8 Reorder the terms: fx = 8 + -1f + fx Add '-1fx' to each side of the equation. fx + -1fx = 8 + -1f + fx + -1fx Combine like terms: fx + -1fx = 0 0 = 8 + -1f + fx + -1fx Combine like terms: fx + -1fx = 0 0 = 8 + -1f + 0 0 = 8 + -1f Solving 0 = 8 + -1f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add 'f' to each side of the equation. 0 + f = 8 + -1f + f Remove the zero: f = 8 + -1f + f Combine like terms: -1f + f = 0 f = 8 + 0 f = 8 Simplifying f = 8
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