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Simplifying f(x) = 2(3x + -5) + 4(3x + 14) Multiply f * x fx = 2(3x + -5) + 4(3x + 14) Reorder the terms: fx = 2(-5 + 3x) + 4(3x + 14) fx = (-5 * 2 + 3x * 2) + 4(3x + 14) fx = (-10 + 6x) + 4(3x + 14) Reorder the terms: fx = -10 + 6x + 4(14 + 3x) fx = -10 + 6x + (14 * 4 + 3x * 4) fx = -10 + 6x + (56 + 12x) Reorder the terms: fx = -10 + 56 + 6x + 12x Combine like terms: -10 + 56 = 46 fx = 46 + 6x + 12x Combine like terms: 6x + 12x = 18x fx = 46 + 18x Solving fx = 46 + 18x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 46x-1 + 18 Simplifying f = 46x-1 + 18 Reorder the terms: f = 18 + 46x-1
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