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# How many solutions exist for the given equation? 3(x+10) + 6 = 3(x+12)

**Solution:**

3(x +10) + 6 = 3(x + 12) [Given]

Using the multiplicative distributive property

3x + 30 + 6 = 3x + 36

By transposing the term with variables on one side and constant terms on the other side.

3x - 3x = 36 - 30 - 6

3x - 3x = 36 - 36

0 = 0

Therefore, there are infinite solutions for the given equation.

## How many solutions exist for the given equation? 3(x+10)+6 = 3(x+12)

**Summary:**

Infinite solutions exist for the given equation 3(x+10) + 6 = 3(x+12).

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