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Simplifying f(a + 1) = 3x + 2 Reorder the terms: f(1 + a) = 3x + 2 (1 * f + a * f) = 3x + 2 Reorder the terms: (af + 1f) = 3x + 2 (af + 1f) = 3x + 2 Reorder the terms: af + 1f = 2 + 3x Solving af + 1f = 2 + 3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1f' to each side of the equation. af + 1f + -1f = 2 + -1f + 3x Combine like terms: 1f + -1f = 0 af + 0 = 2 + -1f + 3x af = 2 + -1f + 3x Divide each side by 'f'. a = 2f-1 + -1 + 3f-1x Simplifying a = 2f-1 + -1 + 3f-1x Reorder the terms: a = -1 + 2f-1 + 3f-1x
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