How do you simplify the sum of the expression 2x + 3 + 10 + x + 2 + 9, and are there any restrictions on the variables?

To simplify the sum of the expression 2x + 3 + 10 + x + 2 + 9, we start by combining like terms.

First, let’s group the terms:

  • Coefficients of x: 2x and x (which is equivalent to 1x)
  • Constant terms: 3, 10, 2, and 9

Now, combine the coefficients of x:

2x + 1x = 3x

Next, combine the constant terms:

3 + 10 + 2 + 9 = 24

Putting it all together, we get:

3x + 24

So, the simplified form of the expression is 3x + 24.

Now let’s talk about any restrictions on the variables. In this case, there are no specific restrictions imposed by the expression itself. The variable x can take any real number value, as there are no denominators or square roots involving x that would create restrictions.

However, if the context of a larger mathematical problem dictates certain conditions (for instance, if x is defined within a specific range), those should be considered separately. In general mathematical practice, while simplifying, ensure that the variable x is treated as a real number unless stated otherwise.

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