Answer: x = 19
Step-by-step explanation:
5(-12x+3) + 6(10x + 7) = 9 - x + 3x + 10 Distribute on the left side
-60x + 15 + 60x + 42 = 9 + 2x + 10 combine like terms on the left side
57 = 9 + 2x + 10 Now combine like terms on the right side
57 = 2x + 19 Subtract 19 from both sides
-19 -19
38 = 2x Divide both sides by 2
x = 19
Answer: Raymond is correct
The DJ charges $75 an hour.
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Explanation:
x = number of hours
y = total cost
The DJ does a 3-hour event for $275. This means one point is (x,y) = (3,275)
Another point is (5,425) because a 5-hour event costs $425.
Let's find the slope of the line through these two points.

The slope is 75, meaning that each time y goes up by 75, x goes up by 1.
Flipped around it means each time x goes up by 1, y goes up by 75.
This means each time we add on an extra hour, the cost goes up by $75.
The DJ charges $75 an hour. Raymond is correct.
If you would like to solve the equation x^2 + 12 * x = -11, you can calculate this using the following steps:
x^2 + 12 * x = -11
<span>x^2 + 12 * x + 11 = 0
</span>(x + 1) * (x + 11) = 0
1. x = - 1
2. x = - 11
The correct result would be x = - 1, or x = - 11.