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Simplifying f(x) + g(x) = x + 6(4x + 6) Multiply f * x fx + g(x) = x + 6(4x + 6) Multiply g * x fx + gx = x + 6(4x + 6) Reorder the terms: fx + gx = x + 6(6 + 4x) fx + gx = x + (6 * 6 + 4x * 6) fx + gx = x + (36 + 24x) Reorder the terms: fx + gx = 36 + x + 24x Combine like terms: x + 24x = 25x fx + gx = 36 + 25x Solving fx + gx = 36 + 25x Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1gx' to each side of the equation. fx + gx + -1gx = 36 + -1gx + 25x Combine like terms: gx + -1gx = 0 fx + 0 = 36 + -1gx + 25x fx = 36 + -1gx + 25x Divide each side by 'x'. f = 36x-1 + -1g + 25 Simplifying f = 36x-1 + -1g + 25 Reorder the terms: f = 25 + -1g + 36x-1
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