Simplify 15x - 3 - 4x + 6.

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Multiple Choice

Simplify 15x - 3 - 4x + 6.

Explanation:
To simplify the expression \( 15x - 3 - 4x + 6 \), you need to combine like terms, which means grouping terms that contain the same variable or constant. First, identify the terms with \( x \): - \( 15x \) and \( -4x \). Combine these terms: \[ 15x - 4x = 11x. \] Next, identify the constant terms: - \( -3 \) and \( 6 \). Combine these terms: \[ -3 + 6 = 3. \] Putting it all together, you combine the simplified results: \[ 11x + 3. \] This gives you the final simplified expression, which matches the correct answer. By systematically combining the like terms, you arrive at the solution in a logical manner, confirming that \( 11x + 3 \) is indeed the correct simplification of the original expression.

To simplify the expression ( 15x - 3 - 4x + 6 ), you need to combine like terms, which means grouping terms that contain the same variable or constant.

First, identify the terms with ( x ):

  • ( 15x ) and ( -4x ).

Combine these terms:

[

15x - 4x = 11x.

]

Next, identify the constant terms:

  • ( -3 ) and ( 6 ).

Combine these terms:

[

-3 + 6 = 3.

]

Putting it all together, you combine the simplified results:

[

11x + 3.

]

This gives you the final simplified expression, which matches the correct answer. By systematically combining the like terms, you arrive at the solution in a logical manner, confirming that ( 11x + 3 ) is indeed the correct simplification of the original expression.

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