Answer:
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To solve the equation using algebra tiles, we can represent the terms on both sides of the equation using algebra tiles and then simplify to find the value of x.
The equation x + 1 = -x(-5) can be represented using algebra tiles as follows:
On the left side, we have x represented by a positive x tile and 1 represented by a positive unit tile.
On the right side, we have -x represented by a negative x tile and (-5) represented by five negative unit tiles.
To simplify the equation, we can combine the like terms on each side:
On the left side, x + 1 remains unchanged.
On the right side, -x(-5) simplifies to 5x.
So, the simplified equation becomes:
x + 1 = 5x
Next, we can isolate the variable x on one side of the equation. Subtracting x from both sides, we get:
1 = 4x
To solve for x, we divide both sides of the equation by 4:
1/4 = x
Therefore, the value of x when using algebra tiles to solve the equation x + 1 = -x(-5) is x = 1/4.
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Step-by-step explanation:
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