9.) The sum of seven and $$ x $$ 10.) $$ x $$ times eleven is equal to thirty-three $$ = $$ 11.) The difference between $$ x $$ and eight is $$ = $$ equal to fifteen. 12.) A number plus ten $$ = $$ 13.) The quotient of $$ x $$ and four is thirteen $$ = $$ 14.) $$ x $$ increased by five is equal to thirty- $$ = $$ eight. 15.) The product of a number and $$ = $$ thirteen.

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UpStudy AI · Accepted Answer

Sure! Let's go through each of the problems you've listed, set up the corresponding equations, and solve for $$ x $$ where possible.

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### 9.) The sum of seven and $$ x $$

**Expression:**
$$ 7 + x $$

*Since there's no equation provided (no "equals" statement), we can only express it as the sum of seven and $$ x $$. If you have a specific value it's equal to, please provide it, and we can solve for $$ x $$.*

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### 10.) $$ x $$ times eleven is equal to thirty-three $$ = $$

**Equation:**
$$ 11x = 33 $$

**Solution:**
$$
\begin{align*}
11x &= 33 \
x &= \frac{33}{11} \
x &= 3
\end{align*}
$$

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### 11.) The difference between $$ x $$ and eight is equal to fifteen.

**Equation:**
$$ x - 8 = 15 $$

**Solution:**
$$
\begin{align*}
x - 8 &= 15 \
x &= 15 + 8 \
x &= 23
\end{align*}
$$

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### 12.) A number plus ten $$ = $$

*The problem seems incomplete as it stands. To form an equation and solve for $$ x $$, we need to know what the sum is equal to. For example:*

**If the problem is:** "A number plus ten equals twenty."

**Equation:**
$$ x + 10 = 20 $$

**Solution:**
$$
\begin{align*}
x + 10 &= 20 \
x &= 20 - 10 \
x &= 10
\end{align*}
$$

*Please provide the value that the number plus ten is equal to for a complete solution.*

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### 13.) The quotient of $$ x $$ and four is thirteen $$ = $$

**Equation:**
$$ \frac{x}{4} = 13 $$

**Solution:**
$$
\begin{align*}
\frac{x}{4} &= 13 \
x &= 13 \times 4 \
x &= 52
\end{align*}
$$

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### 14.) $$ x $$ increased by five is equal to thirty-eight.

**Equation:**
$$ x + 5 = 38 $$

**Solution:**
$$
\begin{align*}
x + 5 &= 38 \
x &= 38 - 5 \
x &= 33
\end{align*}
$$

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### 15.) The product of a number and thirteen.

**Expression:**
$$ 13x $$

*Similar to problem 9, this is an expression representing the product of a number and thirteen. If there's an equation (e.g., "The product of a number and thirteen equals fifty-six"), please provide it so we can solve for $$ x $$.*

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If you have additional information for problems 9, 12, or 15, or if you'd like further assistance with these or other problems, feel free to let me know!
Here are the simplified solutions for the given problems: 9.) $$ 7 + x $$ (No equation provided) 10.) $$ x = 3 $$ 11.) $$ x = 23 $$ 12.) $$ x = 10 $$ (Assuming the sum is 20) 13.) $$ x = 52 $$ 14.) $$ x = 33 $$ 15.) $$ 13x $$ (No equation provided)

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