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Simplifying f(x) = 2[2x + -1(3x + -6)] + -8(x + -6) Multiply f * x fx = 2[2x + -1(3x + -6)] + -8(x + -6) Reorder the terms: fx = 2[2x + -1(-6 + 3x)] + -8(x + -6) fx = 2[2x + (-6 * -1 + 3x * -1)] + -8(x + -6) fx = 2[2x + (6 + -3x)] + -8(x + -6) Reorder the terms: fx = 2[6 + 2x + -3x] + -8(x + -6) Combine like terms: 2x + -3x = -1x fx = 2[6 + -1x] + -8(x + -6) fx = [6 * 2 + -1x * 2] + -8(x + -6) fx = [12 + -2x] + -8(x + -6) Reorder the terms: fx = 12 + -2x + -8(-6 + x) fx = 12 + -2x + (-6 * -8 + x * -8) fx = 12 + -2x + (48 + -8x) Reorder the terms: fx = 12 + 48 + -2x + -8x Combine like terms: 12 + 48 = 60 fx = 60 + -2x + -8x Combine like terms: -2x + -8x = -10x fx = 60 + -10x Solving fx = 60 + -10x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 60x-1 + -10 Simplifying f = 60x-1 + -10 Reorder the terms: f = -10 + 60x-1
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