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Bot GPT 3.5 Problem 1:
Simplify the algebraic expression: 2x + 3x - 5x + 4
Solution:
To simplify this expression, we start by combining like terms. 2x, 3x, and -5x are all like terms because they all have the variable 'x'. We can add or subtract the coefficients of these like terms.
2x + 3x - 5x simplifies to (2 + 3 - 5)x which gives us 0x or just 0, because any number multiplied by 0 is 0.
So, the simplified expression is 0 + 4 which is just 4.
Answer: 4
Problem 2:
Simplify the algebraic expression: 3(4x - 2) + 2(x + 3)
Solution:
To simplify this expression, we need to distribute the numbers outside the parentheses to the terms inside.
3(4x - 2) becomes 12x - 6
2(x + 3) becomes 2x + 6
Now, we can combine like terms. 12x and 2x are like terms because they both have the variable 'x'. Similarly, -6 and 6 are like terms because they are both constants.
12x - 6 + 2x + 6 simplifies to (12x + 2x) + (-6 + 6) which gives us 14x + 0.
Since any number added or subtracted with 0 remains the same, the final simplified expression is just 14x.
Answer: 14x