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The area of a rectangle is found by multiplying the length times the width.

3(2x - 1) = 6x - 3

5(x + 3) = 5x + 15

According to the text, these are equal to each other.

6x - 3 = 5x + 15

Solve for x.

x - 3 = 15

x = 18

Substitute 18 into the original dimensions.

3(36 - 1) = 105

5(18 + 3) = 105

The areas of both rectangles (3 x 35 and 5 x 21) is 105 square cm.

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Q: What are the areas of two rectangles when the rectangle 3 cm by 2x-1 cm is equal to the area of the rectangle 5 by x plus 3 cm showing work from start to finish?
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