Earlier quoted context omitted.
TL;DR: algebra != arithmetic AKA real math doesn't use numbers I'm only good at _arithmetic_ because of making Warhammer 40k armies (true story bro). I'm good at _algebra_ because I was taught well, on top of a knack. Speed with basic algebraic operations was very helpful in many places but speed with arithmetic operations has only been helpful in board games. I don't think anyone here would disagree with your point…
Algebra does use numbers. I learned to move the numbers to one side and the variables to the other. 10x+7 = -2x+31 Move 7 to the other side (picking up a minus sign) 10x = -2x + 31 - 7 = -2x + 24 Move -2x to the other side (flipping sign) 12x = 24 Recover 12*2 = 24 via memorization, quick division (though not long division), or whatever method Therefore, x = 2. Then I drew a square and was done.
I don't get this part.
You mean to highlight the end result? In that case, it would, most of the time, be a rectangle (or try to be).