The image shows a mathematical model with symbols representing terms. There are three vertical bars on the left with labels $x$, $-x$, and $-x$. On the right, there is a grid of numbers with positive and negative ones.

Step 1: Interpret the visual model

• The vertical bars represent algebraic terms:

  • The first bar is $x$,
  • The second bar is $-x$,
  • The third bar is $-x$.

• The grid of numbers represents constants:

  • There are five boxes in total: three are $-1$, and two are $1$.

Step 2: Combine the terms algebraically

• Add up the $x$ terms: $x - x - x = -x$

• Add up the constants: $-1 + 1 + -1 + 1 + -1 = -1$

Step 3: Write the simplified expression

The simplified expression is: $-x - 1$

Let me know if you'd like further details or explanations.

Here are 5 related questions:

1. How do you combine like terms in algebraic expressions?
2. What are the rules for adding integers with positive and negative signs?
3. How do you simplify expressions with variables and constants?
4. Can this expression be further simplified or factored?
5. How do models help in understanding algebraic expressions?

Tip: When simplifying expressions, always group like terms (variables with variables, constants with constants) to make the process clearer.