j) -562 - x = 102
To solve for x, we need to isolate it on one side of the equation.
First, let's move -562 to the right side by adding it to both sides of the equation:
-x = 102 + 562
-x = 664
Next, we need to get rid of the negative sign in front of x by multiplying both sides of the equation by -1:
x = -664

k) -161 + x = 91
To solve for x, we need to isolate it on one side of the equation.
First, let's move -161 to the right side by adding it to both sides of the equation:
x = 91 + 161
x = 252

l) -x + 23 = -97
To solve for x, we need to isolate it on one side of the equation.
First, let's move 23 to the right side by subtracting it from both sides of the equation:
-x = -97 - 23
-x = -120
Next, we need to get rid of the negative sign in front of x by multiplying both sides of the equation by -1:
x = 120

m) 262 + (2x - 123) = 237
To solve for x, we need to simplify the equation first.
First, let's simplify the expression inside the parentheses:
2x - 123 = -25
Next, let's move -123 to the right side by adding it to both sides of the equation:
2x = -25 + 123
2x = 98
Finally, divide both sides of the equation by 2 to solve for x:
x = 49

n) 63 - (51 + x) = 237
To solve for x, we need to simplify the equation first.
First, let's simplify the expression inside the parentheses:
63 - 51 - x = 237
Next, let's combine like terms:
12 - x = 237
Now, let's move 12 to the right side by subtracting it from both sides of the equation:
-x = 237 - 12
-x = 225
Finally, multiply both sides of the equation by -1 to solve for x:
x = -225

o) -(2x + 24) + 211 = -123
To solve for x, we need to simplify the equation first.
First, let's distribute the negative sign to the terms inside the parentheses:
-2x - 24 + 211 = -123
Next, let's combine like terms:
-2x + 187 = -123
Now, let's move 187 to the right side by subtracting it from both sides of the equation:
-2x = -123 - 187
-2x = -310
Finally, divide both sides of the equation by -2 to solve for x:
x = 155

p) 125 - (125 - x) = -46 - 129
To solve for x, we need to simplify the equation first.
First, let's simplify the expression inside the parentheses:
125 - 125 + x = -46 - 129
Next, let's combine like terms:
x = -46 - 129
x = -175

So the solutions are:
j) x = -664
k) x = 252
l) x = 120
m) x = 49
n) x = -225
o) x = 155
p) x = -175