Question

the model represents an equation. what is the solution for this equation? key: white rectangle = x, black rectangle = -x, white square = 1, black square = -1

Explanation:

Step1: Translate model to equation

The left - hand side has 4 positive $x$ terms, 3 negative $x$ terms and 2 positive 1 terms. So it is $4x-3x + 2$. The right - hand side has 11 negative 1 terms, so it is $- 11$. The equation is $4x-3x + 2=-11$.

Step2: Simplify the left - hand side

Combine like terms: $4x-3x=x$, so the equation becomes $x + 2=-11$.

Step3: Solve for $x$

Subtract 2 from both sides: $x=-11 - 2$.
$x=-13$

Answer:

$x = - 13$