Step 1. -6(5x-7)+3x+11

Step 2. -30x-7+3x+11
Answer. -27x+4

is this expression correct? Why or Why not?

1 answer

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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