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Simplifying f(x) = (6x + -7)(-5x + -4) Multiply f * x fx = (6x + -7)(-5x + -4) Reorder the terms: fx = (-7 + 6x)(-5x + -4) Reorder the terms: fx = (-7 + 6x)(-4 + -5x) Multiply (-7 + 6x) * (-4 + -5x) fx = (-7(-4 + -5x) + 6x * (-4 + -5x)) fx = ((-4 * -7 + -5x * -7) + 6x * (-4 + -5x)) fx = ((28 + 35x) + 6x * (-4 + -5x)) fx = (28 + 35x + (-4 * 6x + -5x * 6x)) fx = (28 + 35x + (-24x + -30x2)) Combine like terms: 35x + -24x = 11x fx = (28 + 11x + -30x2) Solving fx = 28 + 11x + -30x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 28x-1 + 11 + -30x Simplifying f = 28x-1 + 11 + -30x Reorder the terms: f = 11 + 28x-1 + -30x
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