Question

Step 1. -6(5x-7)+3x+11
Step 2. -30x-7+3x+11
Answer. -27x+4

is this expression correct? Why or Why not?

Answer 1

Let's go through the steps to determine if the expression is correct.

### Step 1:
The original expression is given as:
\[
-6(5x - 7) + 3x + 11
\]

### Step 2:
Distributing \(-6\) in the expression:
\[
-6(5x) + (-6)(-7) + 3x + 11
\]
This calculates to:
\[
-30x + 42 + 3x + 11
\]

### Step 3:
Now, combine like terms:
- Combine \(-30x\) and \(3x\):
\[
-30x + 3x = -27x
\]
- Now combine the constants \(42\) and \(11\):
\[
42 + 11 = 53
\]

Therefore, the expression simplifies to:
\[
-27x + 53
\]

### Final Result:
The result \(-27x + 4\) provided in your original question is incorrect. The correct simplification after these steps should be:
\[
-27x + 53
\]

### Conclusion:
The expression \(-27x + 4\) is **not correct** because the constant term should be 53, not 4.