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Simplifying f(x) = f(x + -1) + 100x Multiply f * x fx = f(x + -1) + 100x Reorder the terms: fx = f(-1 + x) + 100x fx = (-1 * f + x * f) + 100x fx = (-1f + fx) + 100x Add '-1fx' to each side of the equation. fx + -1fx = -1f + fx + -1fx + 100x Combine like terms: fx + -1fx = 0 0 = -1f + fx + -1fx + 100x Combine like terms: fx + -1fx = 0 0 = -1f + 0 + 100x 0 = -1f + 100x Solving 0 = -1f + 100x 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 = -1f + f + 100x Remove the zero: f = -1f + f + 100x Combine like terms: -1f + f = 0 f = 0 + 100x f = 100x Simplifying f = 100x
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