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Which of the following is a simplified version of 12 - 2 (x+1) = 5?

A. -2x+10=5
B. -2x + 13 = 5
C. 10x + 1 = 5
D. 10x + 10 = 5

1 answer

To simplify the equation \( 12 - 2(x + 1) = 5 \), let's follow the steps:

  1. Distribute the -2 into the parenthesis: \[ 12 - 2x - 2 = 5 \]

  2. Combine like terms on the left side: \[ 10 - 2x = 5 \]

So, the simplified version of the equation is: \[ -2x + 10 = 5 \]

Now let's compare this with the answer choices:

A. \(-2x + 10 = 5\)
B. \(-2x + 13 = 5\)
C. \(10x + 1 = 5\)
D. \(10x + 10 = 5\)

The correct simplified equation is A: \(-2x + 10 = 5\).