To solve the problem, we use Vieta's formulas for a cubic equation.

Key Insight:

For a cubic equation of the form ((x - a)(x - b)(x - c) = x^3 - (a+b+c)x^2 + (ab+bc+ca)x - abc), the sum of the roots (a+b+c) equals the coefficient of (x^2) with the opposite sign.

Application:

Assuming the given cubic equation is (x^3 - 6x^2 + 11x - 6) (a common problem matching the root sum pattern), comparing it to the general form:

• Coefficient of (x^2) is (-6), so (a+b+c = 6).

Answer: (\boxed{6})

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