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Simplifying f(x + y) + f(x + -1y) = f(7x) (x * f + y * f) + f(x + -1y) = f(7x) (fx + fy) + f(x + -1y) = f(7x) fx + fy + (x * f + -1y * f) = f(7x) fx + fy + (fx + -1fy) = f(7x) Reorder the terms: fx + fx + fy + -1fy = f(7x) Combine like terms: fx + fx = 2fx 2fx + fy + -1fy = f(7x) Combine like terms: fy + -1fy = 0 2fx + 0 = f(7x) 2fx = f(7x) Remove parenthesis around (7x) 2fx = f * 7x Reorder the terms for easier multiplication: 2fx = 7f * x Multiply f * x 2fx = 7fx Solving 2fx = 7fx Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-7fx' to each side of the equation. 2fx + -7fx = 7fx + -7fx Combine like terms: 2fx + -7fx = -5fx -5fx = 7fx + -7fx Combine like terms: 7fx + -7fx = 0 -5fx = 0 Divide each side by '-5'. fx = 0 Simplifying fx = 0 The solution to this equation could not be determined.
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