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Explanation To simplify the expression 5xyz + 9xyz - 2xyz, we can combine the like terms. The terms 5xyz, 9xyz, and -2xyz all have the same variables (x, y, and z) raised to the same powers. By adding the coefficients of these terms, we get 5 + 9 - 2 = 12. Therefore, the simplified expression is 12xyz.
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2.
X + 4 = 8
Correct Answer x=4 4 x = 4
Explanation The given equation x + 4 = 8 is a simple linear equation. To solve for x, we need to isolate it on one side of the equation. By subtracting 4 from both sides, we get x = 4. Therefore, the correct answer is x = 4. The repetition of "4" and "x = 4" in the answer is likely a formatting error or redundancy.
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3.
7x = 14
Correct Answer x=2 2 x = 2
Explanation The equation 7x = 14 can be solved by dividing both sides of the equation by 7. This gives us x = 2. The answer is then repeated twice, which may be a formatting error or redundancy, but it still indicates that the value of x is 2.
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4.
X + 7 = 19
Correct Answer x=12 12 x = 12
Explanation The given equation is x + 7 = 19. To solve for x, we need to isolate it on one side of the equation. By subtracting 7 from both sides, we get x = 12. Therefore, the value of x is 12.
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5.
7x + 7 = 28
Correct Answer x=3 3 x = 3
Explanation The given equation is 7x + 7 = 28. To solve for x, we need to isolate the variable on one side of the equation. Subtracting 7 from both sides, we get 7x = 21. Dividing both sides by 7, we find that x = 3. Therefore, the correct answer is x = 3.
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6.
7x + 10 = 66
Correct Answer x=8 8 x = 8
Explanation The equation 7x + 10 = 66 is solved by subtracting 10 from both sides to isolate the variable. This gives us 7x = 56. Then, dividing both sides by 7 gives us x = 8. Therefore, the value of x that satisfies the equation is 8.
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7.
3 = 3x + 4x + 3
Correct Answer x=0 0 x = 0
Explanation The given equation is 3 = 3x + 4x + 3. By combining like terms, we can simplify it to 3 = 7x + 3. By subtracting 3 from both sides of the equation, we get 0 = 7x. Dividing both sides by 7, we find that x = 0. Hence, the correct answer is x = 0.
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8.
6x + 6 + 2x = 46
Correct Answer x=5 5 x = 5
Explanation The equation given is 6x + 6 + 2x = 46. To solve for x, we can combine like terms to get 8x + 6 = 46. Then, we can subtract 6 from both sides to get 8x = 40. Finally, we divide both sides by 8 to find that x = 5. Therefore, the correct answer is x = 5.
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9.
3x + 9 + 5x = 25
Correct Answer x=2
Explanation The given equation is a linear equation in one variable, x. To solve the equation, we need to combine like terms on the left side of the equation. Adding the coefficients of x, we get 3x + 5x = 8x. So, the equation becomes 8x + 9 = 25. To isolate x, we subtract 9 from both sides of the equation, which gives us 8x = 16. Finally, we divide both sides of the equation by 8, and we find that x = 2.
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