Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation negative 1 half x plus 3 is equal to 4 minus 1 fourth x ?

Add 1/4x to both sides so the variable terms are together: −1/4x + 3 = 4. Then subtract 3 from both sides to isolate the variable term, giving −1/4x = 1. This matches choice C, “negative 1 fourth x is equal to 1.”

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