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Simplifying f(a + 2) = x2 + -6x + 7 Reorder the terms: f(2 + a) = x2 + -6x + 7 (2 * f + a * f) = x2 + -6x + 7 Reorder the terms: (af + 2f) = x2 + -6x + 7 (af + 2f) = x2 + -6x + 7 Reorder the terms: af + 2f = 7 + -6x + x2 Solving af + 2f = 7 + -6x + x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2f' to each side of the equation. af + 2f + -2f = 7 + -6x + -2f + x2 Combine like terms: 2f + -2f = 0 af + 0 = 7 + -6x + -2f + x2 af = 7 + -6x + -2f + x2 Reorder the terms: af = 7 + -2f + -6x + x2 Divide each side by 'f'. a = 7f-1 + -2 + -6f-1x + f-1x2 Simplifying a = 7f-1 + -2 + -6f-1x + f-1x2 Reorder the terms: a = -2 + 7f-1 + -6f-1x + f-1x2
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