Sure, let's solve the equation step by step:
1. Start with the original equation:
[tex]\[
10x - 4.5 + 3x = 12x - 1.1
\][/tex]
2. Combine like terms on the left side of the equation:
[tex]\[
10x + 3x - 4.5 = 12x - 1.1
\][/tex]
[tex]\[
13x - 4.5 = 12x - 1.1
\][/tex]
3. Move all [tex]\( x \)[/tex] terms to one side and the constants to the other side. Subtract [tex]\( 12x \)[/tex] from both sides:
[tex]\[
13x - 12x - 4.5 = -1.1
\][/tex]
[tex]\[
x - 4.5 = -1.1
\][/tex]
4. Add 4.5 to both sides to solve for [tex]\( x \)[/tex]:
[tex]\[
x - 4.5 + 4.5 = -1.1 + 4.5
\][/tex]
[tex]\[
x = 3.4
\][/tex]
Therefore, the value of [tex]\( x \)[/tex] is [tex]\( 3.4 \)[/tex]. Please type it in the box:
[tex]\[ x = 3.4 \][/tex]
