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Answer :
To solve for [tex]\( x \)[/tex] and interpret the expressions given, let's take it step by step:
1. Understanding the Expressions:
- Expression 1: [tex]\(-13 \times 7\)[/tex]
This is a straightforward multiplication. Calculate the product:
[tex]\[
-13 \times 7 = -91
\][/tex]
- Expression 2: [tex]\(-16 - x - 7\)[/tex]
Here, we need to solve for [tex]\( x \)[/tex]. Let's simplify and solve the equation:
Start by combining like terms:
[tex]\[
-16 - 7 = -23
\][/tex]
So the expression simplifies to:
[tex]\[
-23 - x
\][/tex]
Assuming we have an equation where this expression equals 0, we write:
[tex]\[
-23 - x = 0
\][/tex]
To solve for [tex]\( x \)[/tex], add 23 to both sides:
[tex]\[
- x = 23
\][/tex]
Multiply both sides by [tex]\(-1\)[/tex] to find [tex]\( x \)[/tex]:
[tex]\[
x = -23
\][/tex]
2. Solution:
- For the first expression, the result is [tex]\(-91\)[/tex].
- For the second expression, solving for [tex]\( x \)[/tex] gives [tex]\( x = -23 \)[/tex].
3. Graphing the Solution on the Number Line:
To graph the solution [tex]\( x = -23 \)[/tex] on a number line:
- Draw a horizontal line and make marks at increments (e.g., by tens) around zero.
- Locate and mark the point at [tex]\(-23\)[/tex].
- Since it's an equation (not an inequality with a range of values), simply mark [tex]\(-23\)[/tex] with a point or a solid dot.
This completes solving and interpreting the given expressions, and graphing the result on a number line.
1. Understanding the Expressions:
- Expression 1: [tex]\(-13 \times 7\)[/tex]
This is a straightforward multiplication. Calculate the product:
[tex]\[
-13 \times 7 = -91
\][/tex]
- Expression 2: [tex]\(-16 - x - 7\)[/tex]
Here, we need to solve for [tex]\( x \)[/tex]. Let's simplify and solve the equation:
Start by combining like terms:
[tex]\[
-16 - 7 = -23
\][/tex]
So the expression simplifies to:
[tex]\[
-23 - x
\][/tex]
Assuming we have an equation where this expression equals 0, we write:
[tex]\[
-23 - x = 0
\][/tex]
To solve for [tex]\( x \)[/tex], add 23 to both sides:
[tex]\[
- x = 23
\][/tex]
Multiply both sides by [tex]\(-1\)[/tex] to find [tex]\( x \)[/tex]:
[tex]\[
x = -23
\][/tex]
2. Solution:
- For the first expression, the result is [tex]\(-91\)[/tex].
- For the second expression, solving for [tex]\( x \)[/tex] gives [tex]\( x = -23 \)[/tex].
3. Graphing the Solution on the Number Line:
To graph the solution [tex]\( x = -23 \)[/tex] on a number line:
- Draw a horizontal line and make marks at increments (e.g., by tens) around zero.
- Locate and mark the point at [tex]\(-23\)[/tex].
- Since it's an equation (not an inequality with a range of values), simply mark [tex]\(-23\)[/tex] with a point or a solid dot.
This completes solving and interpreting the given expressions, and graphing the result on a number line.
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