Question

If −6(x−4) = 42, then x = −3. Put responses in the correct input to answer the question.

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Statement Reason 1: x−4 = −7 simplifying
Statement Reason 2: x−4 4 = −7 4
Statement Reason 3: x = −3 simplifying

Answer 1

The equation −6(x−4) = 42 is solved for x by dividing both sides by -6 and then adding 4 to isolate and solve for x, resulting in x = −3.

Step-by-step explanation:

The equation −6(x−4) = 42 is a simple linear equation. We can solve for x by first simplifying the equation:

1. Divide both sides by -6 to isolate the x − 4 term, giving us x − 4 = −7.
2. Add 4 to both sides of the equation to solve for x, which gives us x = −3.

This demonstrates the correct use of algebraic principles such as the distributive property and the addition of like terms.