#### Answer

The solution is:
$$x = 4$$
To check if the solution is correct, we plug $4$ in for $x$ into the original equation:
$$0.1(4 - 3) = 1.1 - 0.25(4)$$
Evaluate what is in parentheses first:
$$0.1(1) = 1.1 - 0.25(4)$$
Multiply, according to order of operations:
$$0.1 = 1.1 - 1$$
Now, you can do the subtraction:
$$0.1 = 0.1$$
The solution is correct because both sides of the equation are equal.

#### Work Step by Step

To solve the equation for $x$, you have to isolate $x$.
First, you distribute what is in parentheses:
$$0.1x - 0.3 = 1.1 - 0.25x$$
Add $0.25x$ to both sides of the equation to isolate the variable:
$$0.35x - 0.3 = 1.1$$
Add $0.3$ to both sides to move constants to the other of the equation:
$$0.35x = 1.4$$
Divide by $0.35$ on both sides to isolate $x$:
$$x = 4$$
To check if the solution is correct, we plug $4$ in for $x$ into the original equation:
$$0.1(4 - 3) = 1.1 - 0.25(4)$$
Evaluate what is in parentheses first:
$$0.1(1) = 1.1 - 0.25(4)$$
Multiply, according to order of operations:
$$0.1 = 1.1 - 1$$
Now, you can do the subtraction:
$$0.1 = 0.1$$
The solution is correct because both sides of the equation are equal.