Simplify x+12+x+12+14

The problem you presented involves mathematical simplification. The task is to take the expression given and combine the like terms in order to make it simpler and more concise. In the expression provided, you have a repeated term (x+12) and a constant (14) that needs to be integrated into a single simplified algebraic expression.

$x + 12 + x + 12 + 14$

Answer

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Solution:

Step 1:

Combine like terms starting with $x$ and $x$ to get $2 x$ . Thus, the expression becomes $2 x + 12 + 12 + 14$ .

Step 2:

Proceed to simplify by combining the constant terms.

Step 2.1:

First, add together $12$ and $12$ to get $24$ . The expression is now $2 x + 24 + 14$ .

Step 2.2:

Next, add $24$ and $14$ to obtain $38$ . The expression simplifies to $2 x + 38$ .

The simplified expression is $2 x + 38$ .

Knowledge Notes:

To simplify an algebraic expression, you follow certain rules and steps:

Combine like terms: Like terms are terms that contain the same variables raised to the same power. In the given expression, the like terms are the $x$ terms. When you combine them, you simply add their coefficients. In this case, $x + x = 2 x$ .
Simplify constant terms: Constant terms are numbers without variables. They can be added or subtracted from each other. In the expression, the constant terms are $12$ , $12$ , and $14$ . When these are added together ( $12 + 12 + 14$ ), they simplify to $38$ .
Final expression: After combining like terms and simplifying constants, you should rewrite the expression in a simplified form. The final simplified expression here is $2 x + 38$ .

In mathematics, keeping expressions in their simplest form makes it easier to perform operations such as addition, subtraction, multiplication, and division. It also helps in solving equations and inequalities more efficiently.