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Simplifying f(x) = x + 4(2x + 1) * 8x2 + 4 Multiply f * x fx = x + 4(2x + 1) * 8x2 + 4 Reorder the terms: fx = x + 4(1 + 2x) * 8x2 + 4 Reorder the terms for easier multiplication: fx = x + 4 * 8x2(1 + 2x) + 4 Multiply 4 * 8 fx = x + 32x2(1 + 2x) + 4 fx = x + (1 * 32x2 + 2x * 32x2) + 4 fx = x + (32x2 + 64x3) + 4 Reorder the terms: fx = 4 + x + 32x2 + 64x3 Solving fx = 4 + x + 32x2 + 64x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 4x-1 + 1 + 32x + 64x2 Simplifying f = 4x-1 + 1 + 32x + 64x2 Reorder the terms: f = 1 + 4x-1 + 32x + 64x2
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