The solution to the equation -1 = 7 - x is x = 8, as determined by locating -1 on the number line, moving 7 units to the right to reach 6, and then moving the same number of units to the left to find the value of x.
To solve the equation -1 = 7 - x, you need to find the value of x that makes both sides of the equation equal. One way to do this is to use a number line, which is a line that shows the position of numbers relative to zero. Here are the steps to follow:
Locate the number -1 on the number line. This is the left side of the equation.
Move 7 units to the right from -1. This is the same as adding 7 to -1. You should reach the number 6. This is the result of the operation 7 - x.
To find the value of x, you need to move the same number of units to the left from 6 as you did from -1 to 6. This is the same as subtracting the same number from both sides of the equation. You should reach the number 8. This is the value of x that makes the equation true.