If the middle of three consecutive even integers is added to 100, the result is 42 more than the sum of the largest integer and twice the smallest. Find the smallest integer.

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First, let's define our variables. Let x = the first and smallest even consecutive integer, let (x + 2) = the second and middle even consecutive integer, and let (x + 4) = the third and largest even consecutive integer.Now, let's create our equation based on our question. "If the middle of three consecutive even integers (x + 2) is added to 100, the result (=) is 42 more than (42 +) the sum of the largest integer (x + 4) and twice the smallest (2x). Find the smallest integer (x = ?)."So, now we have our equation, and we only need to solve for x to find the smallest integer.(x + 2) + 100 = (x + 4) + 2x + 42x + 102 = 3x + 46102 = 2x + 4656 = 2xx = 28So, our smallest integer is 28.~ Azaler