Find the new coordinate vector for the vector x after performing the specified change of basis. Consider two bases B = {b₁,b2} and C = {c₁, c2} for a vector space V such that b₁ = c1 − 4c2 and b2 = 6c1 + 5c2. Suppose x = b₁ + 2b₂. That is, suppose [x] = [¹] Find [x]c.

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