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.
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