Tyler is simplifying the expression 6-2x+5+4x, embarking on a mathematical journey that unravels the intricacies of algebraic expressions. This endeavor requires a methodical approach, a keen eye for detail, and an unwavering commitment to precision.

The expression 6-2x+5+4x presents a seemingly complex facade, but with Tyler’s expert guidance, we will dissect it into its fundamental components, unraveling its complexities and revealing its underlying simplicity.

Simplify the Expression

The expression 6-2x+5+4x can be simplified by combining like terms and following the order of operations.

Identify the Terms

The constant terms in the expression are 6 and 5.

The variable terms in the expression are -2x and 4x.

Constant terms are numbers that do not contain any variables, while variable terms contain variables.

Combine Like Terms

Like terms are terms that have the same variable and exponent. In this expression, the like terms are -2x and 4x.

We can combine like terms by adding or subtracting their coefficients. In this case, we have:

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2x + 4x = 2x

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Simplify the Result, Tyler is simplifying the expression 6-2x+5+4x

The resulting expression is 6 + 2x + 5.

We can further simplify this expression by combining the constant terms:

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+ 5 = 11

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The final simplified expression is 11 + 2x.

Clarifying Questions: Tyler Is Simplifying The Expression 6-2x+5+4x

What is the first step in simplifying the expression?

The first step is to identify the constant terms and variable terms in the expression.

What is the difference between a constant term and a variable term?

A constant term is a number that does not change, while a variable term contains a variable, which can take on different values.

How do you combine like terms?

To combine like terms, add or subtract the coefficients of the like terms and keep the variable part the same.