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An educational, mathematic-themed image that visually communicates the challenge of balancing and solving an equation. Depict an abstract graphical representation of the equation 'x - 3.41 = -19', in the form of different shapes representing 'x', '3.41', and '-19'. Show some symbols suggesting various operations that could be performed to both sides of the equation, such as addition and subtraction. Ensure the image is colorful and abstract, yet easy to understand. The image should contain no text.

Which of the following should be done to both sides of the equation x − 3.41 = −19 to solve the value of x ?(1 point) Responses add 19 add 19 subtract 3.41 subtract 3.41 subtract 19 subtract 19 add 3.41

To solve the value of x in the equation x - 3.41 = -19, one should add 3.41 to both sides of the equation.

To solve the equation x − 3.41 = −19 and find the value of x, you should add 3.41 to both sides of the equation.

To solve the equation x − 3.41 = −19, you need to isolate the variable x by performing the same operation on both sides of the equation. Let's evaluate the given options:

1. Add 19 to both sides of the equation: This is a valid operation as it helps to eliminate the -19 on the right side. It results in x - 3.41 + 19 = 0, which simplifies to x + 15.59 = 0. This step is correct and helps to move closer to solving for x.

2. Subtract 19 from both sides of the equation: This operation is not recommended, as it would further complicate the equation. It would result in x - 3.41 - 19 = -38.41, which is not helpful in isolating x.

3. Subtract 3.41 from both sides of the equation: This operation is not recommended either, as it does not eliminate the -19 on the right side. It would result in x - 3.41 - 3.41 = -22.82, which does not solve for x.

4. Subtract 19 from both sides of the equation: This operation is also not recommended, as it would yield x - 3.41 - 19 = -41.41, which does not lead to a solution for x.

5. Subtract 3.41 from both sides of the equation: This is not a good option either, as it would result in x - 3.41 - 3.41 = -22.82, which does not solve for x.

6. Subtract 19 from both sides of the equation: This operation does not help solve for x either, as it would result in x - 3.41 - 19 = -41.41, which does not lead to a solution for x.

7. Add 3.41 to both sides of the equation: This is not a suitable choice, as it would result in x - 3.41 + 3.41 = -15.59, which is not helpful in solving for x.

From the given options, the correct operation to perform on both sides of the equation x - 3.41 = -19 is to add 19. Thus, the correct response is to "add 19." This will lead to x - 3.41 + 19 = -19 + 19, which simplifies to x + 15.59 = 0.