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Simplifying f(x) = 3(x + 4) + 4(x + -2) Multiply f * x fx = 3(x + 4) + 4(x + -2) Reorder the terms: fx = 3(4 + x) + 4(x + -2) fx = (4 * 3 + x * 3) + 4(x + -2) fx = (12 + 3x) + 4(x + -2) Reorder the terms: fx = 12 + 3x + 4(-2 + x) fx = 12 + 3x + (-2 * 4 + x * 4) fx = 12 + 3x + (-8 + 4x) Reorder the terms: fx = 12 + -8 + 3x + 4x Combine like terms: 12 + -8 = 4 fx = 4 + 3x + 4x Combine like terms: 3x + 4x = 7x fx = 4 + 7x Solving fx = 4 + 7x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 4x-1 + 7 Simplifying f = 4x-1 + 7 Reorder the terms: f = 7 + 4x-1
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