Sure! Let's solve the equation step-by-step:
Given:
[tex]\[
4x + 43 + 2x = 7
\][/tex]
Step 1: Combine like terms on the left side of the equation. The terms [tex]\(4x\)[/tex] and [tex]\(2x\)[/tex] are like terms:
[tex]\[
4x + 2x + 43 = 7
\][/tex]
Step 2: Add the coefficients of [tex]\(x\)[/tex]:
[tex]\[
6x + 43 = 7
\][/tex]
Step 3: Isolate the term with [tex]\(x\)[/tex] by subtracting 43 from both sides of the equation:
[tex]\[
6x + 43 - 43 = 7 - 43
\][/tex]
[tex]\[
6x = -36
\][/tex]
Step 4: Solve for [tex]\(x\)[/tex] by dividing both sides of the equation by 6:
[tex]\[
x = \frac{-36}{6}
\][/tex]
[tex]\[
x = -6
\][/tex]
So, the solution to the equation [tex]\(4x + 43 + 2x = 7\)[/tex] is:
[tex]\[
x = -6
\][/tex]
