How many solutions are there to the equation
\(u + v + w + x + y + z = 8, \)
where \(u, v, w, x, y\) and \(z\) are nonnegative integers, and \(x\) is at most \(2\)?
This is AoPS homework. Do not post AoPS homework.
This is a rather intriguing (and ironic) development, maximum.
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