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Solve the following system of linear equations
{
𝑥1 + 𝑥2 + 𝑥3 = 𝛼
𝑥1 + (1 + 𝛼)𝑥2 + 𝑥3 = 2𝛼 𝛼 ? 0
𝑥1 + 𝑥2 + (1 + 𝛼)𝑥3 = 3𝛼
{
𝑥1 + 𝑥2 + 𝑥3 = 𝛼
𝑥1 + (1 + 𝛼)𝑥2 + 𝑥3 = 2𝛼 𝛼 ? 0
𝑥1 + 𝑥2 + (1 + 𝛼)𝑥3 = 3𝛼
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