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Closed problem solved

 

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To solve the equation 3x + 7 = 19 - 4x, we need to isolate the variable x on one side of the equation.

First, we can combine like terms by adding 4x to both sides:

3x + 4x + 7 = 19

Then, we can simplify by combining like terms again:

7x + 7 = 19

Next, we can isolate the variable by subtracting 7 from both sides:

7x = 12

Finally, we can solve for x by dividing both sides by 7:

x = 12/7

Therefore, x = 1.714.

As for the second question, the probability of rolling a six-sided die and getting three consecutive numbers in a row is quite low. There are only four sets of three consecutive numbers possible with a six-sided die: 1, 2, 3; 2, 3, 4; 3, 4, 5; and 4, 5, 6.

The probability of rolling the first set, 1, 2, 3, is (1/6) x (1/6) x (1/6) = 1/216.

The probability of rolling the second set, 2, 3, 4, is also 1/216.

The probability of rolling the third set, 3, 4, 5, is also 1/216.

The probability of rolling the fourth set, 4, 5, 6, is also 1/216.

Therefore, the total probability of rolling three consecutive numbers in a row is the sum of these probabilities:

1/216 + 1/216 + 1/216 + 1/216 = 4/216

Simplifying, we get:

4/216 = 1/54

Therefore, the probability of rolling three consecutive numbers in a row with a six-sided die is 1/54.