how do i work 2x+3[4-(3x-7)]
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To simplify the expression 2x+3[4-(3x-7)], we need to use the order of operations, which is also known as "PEMDAS" or "BODMAS." This acronym stands for parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
Let's break down the expression step by step:
Step 1: Simplify the expression inside the parentheses.
Inside the parentheses, we have the expression 4 - (3x - 7). To simplify this, we distribute the negative sign to all the terms inside the parentheses:
4 - (3x - 7) becomes 4 - 3x + 7.
Now we have: 2x + 3(4 - 3x + 7).
Step 2: Simplify using the distributive property.
To simplify further, we apply the distributive property by multiplying each term inside the parentheses by 3:
2x + 3(4) - 3(3x) + 3(7).
This simplifies to: 2x + 12 - 9x + 21.
Step 3: Combine like terms.
Now we combine the terms with the same variable 'x'. In this case, we have 2x and -9x:
2x - 9x + 12 + 21.
Combining the 'x' terms gives us: -7x + 12 + 21.
Finally, we combine the constants 12 and 21:
-7x + 33.
And that's the simplified expression! The simplified form of 2x + 3[4 - (3x - 7)] is -7x + 33.