True or False: The expression 3x + 4y + 3x can be simplified to 6x + 4y.

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Multiple Choice

True or False: The expression 3x + 4y + 3x can be simplified to 6x + 4y.

Explanation:
The expression \( 3x + 4y + 3x \) can indeed be simplified by combining like terms. In this expression, the terms \( 3x \) and \( 3x \) are like terms because they both contain the variable \( x \). To combine them, you simply add their coefficients. Here's how it works: You have two instances of \( 3x \), so you add \( 3 + 3 \) which equals \( 6 \). Therefore, the like terms simplify to \( 6x \). The term \( 4y \) does not have any like terms in the expression, so it remains unchanged. After combining like terms, you correctly arrive at the simplified expression \( 6x + 4y \). Hence, the assertion that \( 3x + 4y + 3x \) simplifies to \( 6x + 4y \) is true.

The expression ( 3x + 4y + 3x ) can indeed be simplified by combining like terms. In this expression, the terms ( 3x ) and ( 3x ) are like terms because they both contain the variable ( x ). To combine them, you simply add their coefficients.

Here's how it works: You have two instances of ( 3x ), so you add ( 3 + 3 ) which equals ( 6 ). Therefore, the like terms simplify to ( 6x ). The term ( 4y ) does not have any like terms in the expression, so it remains unchanged.

After combining like terms, you correctly arrive at the simplified expression ( 6x + 4y ). Hence, the assertion that ( 3x + 4y + 3x ) simplifies to ( 6x + 4y ) is true.

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