What is the combined result of -x and -3x?

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Master Algebraic Simplification by combining like terms effectively. Study with engaging quizzes, detailed explanations, and various question formats. Ace your exam!

Multiple Choice

What is the combined result of -x and -3x?

Explanation:
To combine -x and -3x, we start by identifying that both terms are like terms because they contain the same variable, \(x\). The coefficients of these terms are -1 for -x and -3 for -3x. When combining like terms, we add the coefficients together: \[ -1 + (-3) = -1 - 3 = -4 \] Thus, we have: \[ -x - 3x = -4x \] The combined result of -x and -3x is -4x, which matches the correct answer. This shows a clear understanding of how to combine coefficients of like terms in algebraic expressions.

To combine -x and -3x, we start by identifying that both terms are like terms because they contain the same variable, (x). The coefficients of these terms are -1 for -x and -3 for -3x.

When combining like terms, we add the coefficients together:

[

-1 + (-3) = -1 - 3 = -4

]

Thus, we have:

[

-x - 3x = -4x

]

The combined result of -x and -3x is -4x, which matches the correct answer. This shows a clear understanding of how to combine coefficients of like terms in algebraic expressions.

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