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Simplifying f(a + -4) = x2 + -7x Reorder the terms: f(-4 + a) = x2 + -7x (-4 * f + a * f) = x2 + -7x Reorder the terms: (af + -4f) = x2 + -7x (af + -4f) = x2 + -7x Reorder the terms: af + -4f = -7x + x2 Solving af + -4f = -7x + x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4f' to each side of the equation. af + -4f + 4f = -7x + 4f + x2 Combine like terms: -4f + 4f = 0 af + 0 = -7x + 4f + x2 af = -7x + 4f + x2 Reorder the terms: af = 4f + -7x + x2 Divide each side by 'f'. a = 4 + -7f-1x + f-1x2 Simplifying a = 4 + -7f-1x + f-1x2
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