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