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12. write and solve the equation modeled below. equation: solution:

Question

  1. write and solve the equation modeled below.

equation:
solution:

Explanation:

Step1: Translate balance to equation

Left side: $1 + 1 = 2$; Right side: $8(-1) + (-x) = -8 - x$. Set equal:
$2 = -8 - x$

Step2: Isolate variable $x$

Add $8$ to both sides:
$2 + 8 = -x$
$10 = -x$

Step3: Solve for $x$

Multiply both sides by $-1$:
$x = -10$

Answer:

Equation: $2 = -8 - x$
Solution: $x = -10$