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Simplifying f(x) = (-1x + 7)(2x + -3) Multiply f * x fx = (-1x + 7)(2x + -3) Reorder the terms: fx = (7 + -1x)(2x + -3) Reorder the terms: fx = (7 + -1x)(-3 + 2x) Multiply (7 + -1x) * (-3 + 2x) fx = (7(-3 + 2x) + -1x * (-3 + 2x)) fx = ((-3 * 7 + 2x * 7) + -1x * (-3 + 2x)) fx = ((-21 + 14x) + -1x * (-3 + 2x)) fx = (-21 + 14x + (-3 * -1x + 2x * -1x)) fx = (-21 + 14x + (3x + -2x2)) Combine like terms: 14x + 3x = 17x fx = (-21 + 17x + -2x2) Solving fx = -21 + 17x + -2x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -21x-1 + 17 + -2x Simplifying f = -21x-1 + 17 + -2x Reorder the terms: f = 17 + -21x-1 + -2x
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