By bedmas (or pemdas as you call it) you must do what is within the parentheses first.
English
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Yeah so you add it and get 3
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Then multiply the 3 by the 2 as you must get rid of the parenthesis first. Then you do the 6÷6 to get 1
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But the order of Multiplication and division is left to right so you divide first.
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Yeah, my trouble is all those years of variables fried my thinking when it comes to simple numbers. The way I was thinking would be more appropriate for: 6x÷2(1x+2x)