Let's simplify the given equation step by step to find the equivalent equation.
The given equation is:
[tex]\[ -8(x + 13) = 2(x - 7) + 4x \][/tex]
1. First, distribute the constants inside the parentheses:
[tex]\[ -8(x + 13) = 2(x - 7) + 4x \][/tex]
[tex]\[ -8x - 104 = 2x - 14 + 4x \][/tex]
2. Next, combine like terms on the right side of the equation:
[tex]\[ -8x - 104 = 6x - 14 \][/tex]
Therefore, the equation that is equivalent to the given equation is:
[tex]\[ -8x - 104 = 6x - 14 \][/tex]
So, the correct answer is:
[tex]\[ -8 x-104=6 x-14 \][/tex]
