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Accepted Answer

### 1. First blank (combining terms)
# Brief Explanations:
When solving multi - step linear equations, the first step is usually to combine like terms. Like terms are terms that have the same variable raised to the same power or are constant terms. For example, in an equation like $2x + 3x+5 = 10$, we first combine $2x$ and $3x$ (the like terms with the variable $x$) to simplify the equation.
# Answer:
like

### 2. Second blank (property for distributing)
# Brief Explanations:
The distributive property is used to distribute a number across terms inside parentheses. The formula for the distributive property is $a(b + c)=ab+ac$. For example, if we have $3(x + 2)$, using the distributive property, we get $3\times x+3\times2 = 3x + 6$.
# Answer:
distributive

### 3. Third blank (in $3x + 4=10$, what is 3)
# Brief Explanations:
In the term $3x$, the number $3$ is the coefficient of $x$. A coefficient is a number that is multiplied by a variable in an algebraic expression.
# Answer:
coefficient

### 4. Fourth blank (fixed value in linear equation)
# Brief Explanations:
In a multi - step linear equation, the fixed value that does not change is called the constant. For example, in the equation $2x+5 = 11$, the numbers $5$ and $11$ are constants as their values do not change during the process of solving the equation for $x$.
# Answer:
constant

### 5. Fifth blank (solving $2x + 5=11$)
# Brief Explanations:
To solve the equation $2x + 5=11$, we need to isolate the term with the variable $x$. According to the subtraction property of equality, we must subtract $5$ from both sides of the equation. So, $2x+5 - 5=11 - 5$, which simplifies to $2x = 6$.
# Answer:
subtract

### 6. Sixth blank (solving $3(x - 2)=9$)
# Brief Explanations:
When solving the equation $3(x - 2)=9$, the first step is to distribute the $3$ through the parentheses. Using the distributive property $a(b - c)=ab - ac$, we get $3\times x-3\times2=3x - 6$. So the equation becomes $3x - 6 = 9$, which is easier to solve.
# Answer:
distribute

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Explanation:

1. First blank (combining terms)

Answer:

2. Second blank (property for distributing)