To solve the equation [tex]\(10x - 4.5 + 3x = 12x - 1.1\)[/tex], follow these steps:
1. Combine like terms on the left side:
[tex]\[
10x + 3x - 4.5 = 12x - 1.1
\][/tex]
This simplifies to:
[tex]\[
13x - 4.5 = 12x - 1.1
\][/tex]
2. Move the terms involving [tex]\(x\)[/tex] to one side and the constants to the other side:
[tex]\[
13x - 12x - 4.5 = -1.1
\][/tex]
Simplifying the left side:
[tex]\[
x - 4.5 = -1.1
\][/tex]
3. Add 4.5 to both sides to isolate [tex]\(x\)[/tex]:
[tex]\[
x - 4.5 + 4.5 = -1.1 + 4.5
\][/tex]
Simplifying the right side gives:
[tex]\[
x = 3.4
\][/tex]
Thus, the solution for [tex]\(x\)[/tex] in the equation is:
[tex]\[
\boxed{3.4}
\][/tex]
