Sure, let's solve the given equation step-by-step:
We start with the equation:
[tex]\[ -1 - 6x + 7 = 0 \][/tex]
1. Combine Like Terms:
Simplify the left-hand side of the equation by combining the constant terms [tex]\(-1\)[/tex] and [tex]\(7\)[/tex]:
[tex]\[ -1 + 7 - 6x = 0 \][/tex]
This simplifies to:
[tex]\[ 6 - 6x = 0 \][/tex]
2. Isolate the Variable [tex]\(x\)[/tex]:
To solve for [tex]\(x\)[/tex], we need to isolate it. Start by moving the constant term [tex]\(6\)[/tex] to the right-hand side by subtracting [tex]\(6\)[/tex] from both sides:
[tex]\[ 6 - 6x - 6 = 0 - 6 \][/tex]
This simplifies to:
[tex]\[ -6x = -6 \][/tex]
3. Solve for [tex]\(x\)[/tex]:
Divide both sides of the equation by [tex]\(-6\)[/tex] to isolate [tex]\(x\)[/tex]:
[tex]\[ x = \frac{-6}{-6} \][/tex]
Simplifying this, we get:
[tex]\[ x = 1 \][/tex]
So, the solution to the equation [tex]\( -1 - 6x + 7 = 0 \)[/tex] is:
[tex]\[ x = 1 \][/tex]
