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To translate the expression "two times the difference of seven times a number and four," we can break it down into smaller parts and simplify it step by step.
Let's start by identifying the different components in the expression:
- "seven times a number" represents the multiplication of 7 and a specific number.
- "the difference of seven times a number and four" refers to subtracting 4 from the result of seven times the number.
- "two times the difference" means multiplying the result of the difference by 2.
Now, let's put these components together:
Step 1: Multiply 7 by a number (represented by 'x'):
7 * x
Step 2: Calculate the difference between the result from Step 1 and 4:
(7 * x) - 4
Step 3: Multiply the difference by 2:
2 * ((7 * x) - 4)
Therefore, "two times the difference of seven times a number and four" can be written as 2 * ((7 * x) - 4).