Evaluate the expression: 6 + ( 9 + 7 x 5 )

To evaluate the expression \( 6 + (9 + 7 \times 5) \), follow the order of operations (PEMDAS):

1. **P**arentheses
2. **E**xponents
3. **M**ultiplication and **D**ivision (from left to right)
4. **A**ddition and **S**ubtraction (from left to right)

### Step 1: Solve inside the parentheses first.
\( 9 + 7 \times 5 \)

Within the parentheses, we do the multiplication before the addition:
\[
7 \times 5 = 35
\]
Now the expression inside the parentheses becomes:
\[
9 + 35 = 44
\]

### Step 2: Add the result to the outer part of the expression.
Now, the expression becomes:
\[
6 + 44 = 50
\]

So, the value of the expression is:
\[
\boxed{50}
\]

Would you like further details on the steps or have any questions?

Here are some related questions for practice:
1. Evaluate \(8 + (6 \times 2 + 4)\).
2. Simplify \(5 + (3 + 9 \times 2)\).
3. What is \(4 + (7 \times 3 - 5)\)?
4. Calculate \(12 + (10 + 2 \times 6)\).
5. Evaluate \(15 + (8 + 3 \times 5)\).

**Tip:** Always remember to follow the order of operations (PEMDAS) when solving expressions.

Solve the expression 6 + ( 9 + 7 x 5 ) step-by-step using the order of operations (PEMDAS). Follow the process of evaluating parentheses, multiplication, and addition. This arithmetic problem is suitable for students in Grades 5-7.

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