Answer: 15 + x, or x + 15
Explanation:
The perimeter of triangle QTS is represented as line segments QT + TS + QS. This means:
6 + 6 + ((3x - 1) + (4 - 2x))
You can first simplify 6 + 6, 6 + 6 = 12
12 + ((3x - 1) + (4 - 2x))
Next, focus on ((3x - 1) + (4 - 2x))
3x + (-1) + 4 + (-2x), addition is commutative, so use addition
3x + (-2x) + 4 + (-1)
(3x - 2x) + (4 - 1)
x + (4 - 1)
x + 3
The equation is now:
12 + x + 3
You can simplify this more by adding 12 + 3
15 + x
The answer is 15 + x or x + 15 because that is as simplified as the equation can be.
I hope this helps!