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Simplifying f(x) = (1 + -6t)(3 + t) Multiply f * x fx = (1 + -6t)(3 + t) Multiply (1 + -6t) * (3 + t) fx = (1(3 + t) + -6t * (3 + t)) fx = ((3 * 1 + t * 1) + -6t * (3 + t)) fx = ((3 + 1t) + -6t * (3 + t)) fx = (3 + 1t + (3 * -6t + t * -6t)) fx = (3 + 1t + (-18t + -6t2)) Combine like terms: 1t + -18t = -17t fx = (3 + -17t + -6t2) Solving fx = 3 + -17t + -6t2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 3x-1 + -17tx-1 + -6t2x-1 Simplifying f = 3x-1 + -17tx-1 + -6t2x-1 Reorder the terms: f = -17tx-1 + -6t2x-1 + 3x-1
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