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Simplifying F(x) + g(x) = (5x + 3) + (6x + 4) Multiply F * x xF + g(x) = (5x + 3) + (6x + 4) Multiply g * x xF + gx = (5x + 3) + (6x + 4) Reorder the terms: gx + xF = (5x + 3) + (6x + 4) Reorder the terms: gx + xF = (3 + 5x) + (6x + 4) Remove parenthesis around (3 + 5x) gx + xF = 3 + 5x + (6x + 4) Reorder the terms: gx + xF = 3 + 5x + (4 + 6x) Remove parenthesis around (4 + 6x) gx + xF = 3 + 5x + 4 + 6x Reorder the terms: gx + xF = 3 + 4 + 5x + 6x Combine like terms: 3 + 4 = 7 gx + xF = 7 + 5x + 6x Combine like terms: 5x + 6x = 11x gx + xF = 7 + 11x Solving gx + xF = 7 + 11x Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1xF' to each side of the equation. gx + xF + -1xF = 7 + 11x + -1xF Combine like terms: xF + -1xF = 0 gx + 0 = 7 + 11x + -1xF gx = 7 + 11x + -1xF Divide each side by 'x'. g = 7x-1 + 11 + -1F Simplifying g = 7x-1 + 11 + -1F Reorder the terms: g = 11 + -1F + 7x-1
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