Question

1. select the balance scale model that represents the equation $3x + 2 = 2(x + 3)$. each bag represents $x$ items, and each square tile represents $+1$ unit.

Explanation:

Step1: Simplify the right-hand side

Expand $2(x+3)$ using distributive property:
$2(x+3) = 2x + 6$
The equation becomes $3x + 2 = 2x + 6$.

Step2: Match to balance scale

Left side: 3 bags ($3x$) + 2 square tiles ($+2$).
Right side: 2 bags ($2x$) + 6 square tiles ($+6$, shown as two groups of 3 tiles each).

Answer:

The lower balance scale (option D) is the correct model.