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Simplifying f(x) = (x + -1)(x + -1) + 7 Multiply f * x fx = (x + -1)(x + -1) + 7 Reorder the terms: fx = (-1 + x)(x + -1) + 7 Reorder the terms: fx = (-1 + x)(-1 + x) + 7 Multiply (-1 + x) * (-1 + x) fx = (-1(-1 + x) + x(-1 + x)) + 7 fx = ((-1 * -1 + x * -1) + x(-1 + x)) + 7 fx = ((1 + -1x) + x(-1 + x)) + 7 fx = (1 + -1x + (-1 * x + x * x)) + 7 fx = (1 + -1x + (-1x + x2)) + 7 Combine like terms: -1x + -1x = -2x fx = (1 + -2x + x2) + 7 Reorder the terms: fx = 1 + 7 + -2x + x2 Combine like terms: 1 + 7 = 8 fx = 8 + -2x + x2 Solving fx = 8 + -2x + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 8x-1 + -2 + x Simplifying f = 8x-1 + -2 + x Reorder the terms: f = -2 + 8x-1 + x
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