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Simplifying f(x) = 9(3x + 4) + -3(6x + 9) + -2 Multiply f * x fx = 9(3x + 4) + -3(6x + 9) + -2 Reorder the terms: fx = 9(4 + 3x) + -3(6x + 9) + -2 fx = (4 * 9 + 3x * 9) + -3(6x + 9) + -2 fx = (36 + 27x) + -3(6x + 9) + -2 Reorder the terms: fx = 36 + 27x + -3(9 + 6x) + -2 fx = 36 + 27x + (9 * -3 + 6x * -3) + -2 fx = 36 + 27x + (-27 + -18x) + -2 Reorder the terms: fx = 36 + -27 + -2 + 27x + -18x Combine like terms: 36 + -27 = 9 fx = 9 + -2 + 27x + -18x Combine like terms: 9 + -2 = 7 fx = 7 + 27x + -18x Combine like terms: 27x + -18x = 9x fx = 7 + 9x Solving fx = 7 + 9x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 7x-1 + 9 Simplifying f = 7x-1 + 9 Reorder the terms: f = 9 + 7x-1
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