To solve the equation \( 5x + 16 = 51 \):

1. **Subtract 16 from both sides** to isolate the term with \( x \):
   \[
   5x = 51 - 16
   \]
   \[
   5x = 35
   \]

2. **Divide both sides by 5** to solve for \( x \):
   \[
   x = \frac{35}{5}
   \]
   \[
   x = 7
   \]

So, the solution is \( x = 7 \).

Would you like more details, or do you have any questions? Here are five related questions:

1. What would the value of \( x \) be if the equation was \( 5x + 16 = 66 \)?
2. How would you solve \( 3x + 12 = 51 \)?
3. What happens if you subtract 16 from both sides of \( 7x + 16 = 51 \)?
4. How do you solve for \( x \) in the equation \( 6x + 10 = 34 \)?
5. What if the equation was \( 2x + 16 = 51 \)? How would the solution change?

**Tip:** Always perform the same operation on both sides of an equation to maintain equality.

Learn how to solve the equation 5x + 16 = 51 with a detailed step-by-step solution. This problem covers key algebraic concepts, including linear equations and equation solving procedures. Suitable for students in Grades 6-8.

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