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# Save the visual representation of the algebraic expression as an image file
fig, ax = plt.subplots()

# Draw the x-tiles (2x)
for i in range(2):
    rect = plt.Rectangle((i * tile_size, 0), tile_size, tile_size, color=x_tile_color)
    ax.add_patch(rect)
    ax.text(i * tile_size + 0.5, 0.5, 'x', color='white', ha='center', va='center', fontsize=16)

# Draw the unit tiles (+3)
for i in range(3):
    rect = plt.Rectangle((i * tile_size, -1.5 * tile_size), tile_size, tile_size, color=unit_tile_color)
    ax.add_patch(rect)
    ax.text(i * tile_size + 0.5, -1.5 * tile_size + 0.5, '1', color='white', ha='center', va='center', fontsize=16)

# Set the limits and aspect ratio of the plot
ax.set_xlim(-1, 4)
ax.set_ylim(-2, 1)
ax.set_aspect('equal')

# Remove the axes for a cleaner look
ax.axis('off')

# Save the plot as an image file
file_path = '/mnt/data/algebraic_tiles.png'
plt.title("Representation of 2x + 3 using Algebraic Tiles")
plt.savefig(file_path, bbox_inches='tight')

# Display the file path
file_path
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