Final answer:
To simplify the expression, distribute the 3 to both terms inside the parentheses, combine like terms, and isolate the variables.
Step-by-step explanation:
To simplify the expression 3(4z-9) + 4x = 12 - (-6x - 5), we can start by distributing the 3 to both terms inside the parentheses:
12z - 27 + 4x = 12 + 6x + 5
Next, we can combine like terms on both sides of the equation:
12z + 4x = 17 + 6x
To isolate the variables, we can subtract 6x from both sides of the equation:
12z - 2x = 17
The correct equivalent expression is:
12z - 2x = 17