To solve the equation \(-4x + 1 = x + (-4)\) using algebra tiles, follow the steps given:
Step 1: Add 4 positive x-tiles to both sides and create zero pairs.
Starting equation: \[ -4x + 1 = x - 4 \]
Adding 4 positive x-tiles to both sides: \[ -4x + 4x + 1 = x + 4x - 4 \]
This simplifies to: \[ 0 + 1 = 5x - 4 \] which is: \[ 1 = 5x - 4 \]
Step 2: Add 4 positive unit tiles to both sides and create zero pairs.
Next, add 4 positive unit tiles to both sides to eliminate \(-4\): \[ 1 + 4 = 5x - 4 + 4 \]
This simplifies to: \[ 5 = 5x \]
Step 3: Divide the unit tiles evenly among the x-tiles.
Now, divide the unit tiles by the number of x-tiles: \[ \frac{5}{5} = x \]
This gives you: \[ x = 1 \]
So the solution to the equation is: \[ \boxed{1} \]
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