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Simplifying f(x) = (5x + 3)(6x + -7) Multiply f * x fx = (5x + 3)(6x + -7) Reorder the terms: fx = (3 + 5x)(6x + -7) Reorder the terms: fx = (3 + 5x)(-7 + 6x) Multiply (3 + 5x) * (-7 + 6x) fx = (3(-7 + 6x) + 5x * (-7 + 6x)) fx = ((-7 * 3 + 6x * 3) + 5x * (-7 + 6x)) fx = ((-21 + 18x) + 5x * (-7 + 6x)) fx = (-21 + 18x + (-7 * 5x + 6x * 5x)) fx = (-21 + 18x + (-35x + 30x2)) Combine like terms: 18x + -35x = -17x fx = (-21 + -17x + 30x2) Solving fx = -21 + -17x + 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 = -21x-1 + -17 + 30x Simplifying f = -21x-1 + -17 + 30x Reorder the terms: f = -17 + -21x-1 + 30x
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