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Algebra Level 1

x+y=3y+z=5z+x=4\large \begin{aligned} \color{#3D99F6}{x} + \color{#20A900}{y} &= 3 \\ \color{#20A900}{y} + \color{#D61F06}{z} &= 5 \\ \color{#D61F06}{z} + \color{#3D99F6}{x} &= 4 \end{aligned}

Find x+y+z.\large \color{#3D99F6}{x} + \color{#20A900}{y} + \color{#D61F06}{z}.

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