SOLUTION: Suppose the operation ⊗is defined on the set of integers by a⊗b = a + 2b . Also for any integer b, the value of 1492⊗(b⊗1492) is the same as x⊗b. Wha

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Question 252242: Suppose the operation ⊗is defined on the set of integers by a⊗b = a + 2b . Also
for any integer b, the value of 1492⊗(b⊗1492) is the same as x⊗b. What is the value of x?
Answer by drk(1908) About Me  (Show Source):
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We start with 1492⊗(b⊗1492). Order of operations tells us we need to work on the parentheses first. So,(b⊗1492) = b + 2(1492) = b + 2984. Now, we apply this to 1492⊗(b+2984) to get 1492 + 2(b+2984) = 1492 + 2b + 5968 = 7460 + 2b. This is the same as 7460⊗(b)= X⊗(b). So, X = 7460.