2(5x + 6) + 2 = -6x + ___x+ __
Expanding the expression 2(5x + 6) + 2:
2 * 5x + 2 * 6 + 2 = 10x + 12 + 2 = 10x + 14
Expanding the expression -6x + ___x + __:
-6x + x + 0 = -5x + 0
The expression becomes -6x + -5x + 10x + 14.
To simplify the given expression, we will use the distributive property and combine like terms.
Let's start step by step:
Step 1: Distribute the number 2 to each term inside the parentheses.
2 * 5x = 10x
2 * 6 = 12
The expression becomes: 10x + 12 + 2 = -6x + ___x+ __
Step 2: Combine the constant terms.
12 + 2 = 14
The expression becomes: 10x + 14 = -6x + ___x+ __
Step 3: Combine similar terms.
-6x + 10x = 4x
The expression becomes: 4x + 14 = ___x+ __
Thus, 2(5x + 6) + 2 = -6x + 4x + 14.
To simplify the given expression 2(5x + 6) + 2, we can follow these steps:
Step 1: Distribute the 2 to the terms inside the parentheses.
=> 2 * 5x + 2 * 6 + 2
Step 2: Simplify each term that resulted from the distribution.
=> 10x + 12 + 2
Step 3: Combine like terms.
=> 10x + 14
So, the simplified expression is 10x + 14.
Now, to find the value when we substitute this expression on the right-hand side (-6x), we can follow these steps:
Step 1: Plug in the expression 10x + 14 in place of -6x.
=> -6(10x + 14)
Step 2: Distribute the -6 to the terms inside the parentheses.
=> -6 * 10x + (-6) * 14
Step 3: Simplify each term that resulted from the distribution.
=> -60x - 84
So, the expression -6x is equal to -60x - 84.
Now to find the value when we substitute this expression on the right-hand side, we can follow these steps:
Step 1: Plug in the expression -60x - 84 in place of __x.
=> -60x - 84 + __x + __
Since we don't have any further information provided in the question, we cannot determine the value of the expression __x + __.