Solve $$ 1-\frac{1}{7} x-31+8=3 $$ Enter your answer as a reduced fraction (like 5/3, not 10/6) or as an integer (like 4 or -2 ). Do not enter mixed numbers. Enter DNE for Does Not Exist, oo for Infinity The solutions (where $$ x_{1} \leq x_{2} $$ ) are $$ x_{1}= $$ $$ x_{2}= $$

Question

UpStudy AI · Accepted Answer

To solve the equation:

$$
1 - \frac{1}{7}x - 31 + 8 = 3
$$

**Step 1: Simplify the constants on the left side.**

$$
1 - 31 + 8 = -22
$$

So the equation becomes:

$$
-22 - \frac{1}{7}x = 3
$$

**Step 2: Isolate the term with $$ x $$.**

$$
-\frac{1}{7}x = 3 + 22
$$
$$
-\frac{1}{7}x = 25
$$

**Step 3: Solve for $$ x $$.**

Multiply both sides by $$-7$$:

$$
x = -7 \times 25
$$
$$
x = -175
$$

Since this is a linear equation, there is only one solution. Therefore, both $$ x_1 $$ and $$ x_2 $$ are:

$$
x_1 = -175
$$
$$
x_2 = -175
$$

**Final Answer:**

$$ x_{1}= -175 $$

$$ x_{2}= -175 $$
$$ x_{1} = -175 $$ $$ x_{2} = -175 $$

Solve
Enter your answer as a reduced fraction (like 5/3, not 10/6) or as an integer (like 4 or -2 ). Do not enter mixed numbers.
Enter DNE for Does Not Exist, oo for Infinity
The solutions (where ) are

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Solve Enter your answer as a reduced fraction (like 5/3, not 10/6) or as an integer (like 4 or -2 ). Do not enter mixed numbers. Enter DNE for Does Not Exist, oo for Infinity The solutions (where ) are