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11. 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: $3x + (-1) + (-1) = 3x - 2$; Right side: $4$.
Equation: $3x - 2 = 4$

Step2: Isolate variable term

Add 2 to both sides:
$3x - 2 + 2 = 4 + 2$
$3x = 6$

Step3: Solve for x

Divide by 3 on both sides:
$\frac{3x}{3} = \frac{6}{3}$
$x = 2$

Answer:

Equation: $3x - 2 = 4$
Solution: $x = 2$