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When liquid octane (CX8HX18)(\ce{C_8H_{18}})(CX8HX18) combusts, it forms carbon dioxide and water vapor. The reaction can be modeled by the following, where α,\alpha,α, β,\beta,β, γ,\gamma,γ, and δ\deltaδ are positive coprime integers, α CX8HX18(l)+β OX2(g)→γ COX2(g)+δ HX2O(g)\alpha\ \ce{ C_8{H}_{18}}(l)+\beta\ \ce{ O_2}(g)\rightarrow \gamma \ \ce{ CO_2}(g)+\delta\ \ce{ H_2O}(g)α CX8HX18(l)+β OX2(g)→γ COX2(g)+δ HX2O(g) Find α+β+γ+δ.\alpha+\beta+\gamma+\delta.α+β+γ+δ.
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