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consequence, we determine the 2-color Rado number of $$x_1+x_2+\\cdots +x_n=a_1y_1+\\cdots +a_{\\ell}y_{\\ell}$$ in all cases where $n\\geq 2$ and $n\\geq a_1+\\cdots +a_{\\ell},$ and in most cases where $n\\geq 2$ and $2n\\geq a_1+\\cdots 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