Algebra Practice Test 2025 – Complete Exam Preparation

Question: 1 / 400

Simplify the expression 3(x + 4) - 2(x - 1).

4x + 20

x + 14

To simplify the expression \(3(x + 4) - 2(x - 1)\), begin by distributing the coefficients through the parentheses.

First, distribute \(3\) across \(x + 4\):

\[

3(x + 4) = 3x + 12

\]

Next, distribute \(-2\) across \(x - 1\):

\[

-2(x - 1) = -2x + 2

\]

Now, combine these results:

\[

3x + 12 - 2x + 2

\]

Combine like terms by first combining \(3x\) and \(-2x\):

\[

3x - 2x = x

\]

Next, combine the constant terms \(12\) and \(2\):

\[

12 + 2 = 14

\]

Thus, the expression simplifies to:

\[

x + 14

\]

This is why \(x + 14\) is the correct answer. It accurately reflects the simplification of the original expression through proper distribution and combination of like terms.

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5x + 14

x + 10

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