Solve the Linear Equation: 70x + 30x + 10 + 1 + 10x = 0

$70x+30x+10+1+10x=0$

$x=\text{?}$

To solve this problem, we'll follow these steps:

• Step 1: Combine all like terms in the equation.
• Step 2: Simplify to find the value of $x$.

Now, let's work through each step:
Step 1: The equation is $70x + 30x + 10 + 1 + 10x = 0$. We start by combining the like terms:
$70x + 30x + 10x = 110x$.
Thus, the equation simplifies to $110x + 10 + 1 = 0$.

Step 2: Combine the constant terms:
$10 + 1 = 11$.
So, the equation becomes $110x + 11 = 0$.
Subtract 11 from both sides to isolate the term with $x$:
$110x = -11$.

To solve for $x$, divide both sides by 110:
$x = -\frac{11}{110}$.

Simplify the fraction:
$x = -\frac{1}{10}$.

Therefore, the solution to the equation is $x = -\frac{1}{10}$.