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Simplifying f(x + y) + -1f(x + -1y) = 5xy + 2y (x * f + y * f) + -1f(x + -1y) = 5xy + 2y (fx + fy) + -1f(x + -1y) = 5xy + 2y fx + fy + (x * -1f + -1y * -1f) = 5xy + 2y fx + fy + (-1fx + 1fy) = 5xy + 2y Reorder the terms: fx + -1fx + fy + 1fy = 5xy + 2y Combine like terms: fx + -1fx = 0 0 + fy + 1fy = 5xy + 2y fy + 1fy = 5xy + 2y Combine like terms: fy + 1fy = 2fy 2fy = 5xy + 2y Solving 2fy = 5xy + 2y Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by '2y'. f = 2.5x + 1 Simplifying f = 2.5x + 1 Reorder the terms: f = 1 + 2.5x
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