Questions: Aiden correctly rewrote the literal equation (4(w-frac14 x)=t) as (x=4 w-t). If (w=1) and (t=2), what is the value of (x) ? (x=0) (x=2) (x=1) (x=-1)

Aiden correctly rewrote the literal equation (4(w-frac14 x)=t) as (x=4 w-t). If (w=1) and (t=2), what is the value of (x) ? (x=0) (x=2) (x=1) (x=-1)
Transcript text: 11. Aiden correctly rewrote the literal equation $4\left(w-\frac{1}{4} x\right)=t$ as $x=4 w-t$. If $w=1$ and $t=2$, what is the value of $x$ ? $x=0$ $x=2$ $x=1$ $x=-1$
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Solution

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Solution Steps

Step 1: Understand the Given Equation

The given literal equation is:

\[ 4\left(w-\frac{1}{4} x\right)=t \]

Aiden rewrote it as:

\[ x = 4w - t \]

Step 2: Substitute the Given Values

We are given \(w = 1\) and \(t = 2\). Substitute these values into the equation:

\[ x = 4(1) - 2 \]

Step 3: Simplify the Expression

Calculate the expression:

\[ x = 4 - 2 = 2 \]

Final Answer

The value of \(x\) is \(\boxed{2}\).

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