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Based on the calculations, the value of x is equal to 7.

Given the following data:

  • Length of rectangle = 7 units.
  • Width of rectangle = 3x - 2 units.
  • Area of rectangle = 133 square units.

To write an equation and and solve for x:

How to calculate the area of a rectangle.

Mathematically, the area of a rectangle is given by this formula:

[tex]A=LW[/tex]

Where:

  • L is the length.
  • W is the width.
  • A is the area.

For the equation:

[tex]133 = 7(3x-2)[/tex]

Simplifying further, we have:

[tex]133 = 21x-14\\\\21x=133+14\\\\21x=147\\\\x=\frac{147}{21}[/tex]

x = 7.

Read more on area of a rectangle here: https://brainly.com/question/25292087