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Simplifying
x2 + x + 7 = x + 23
Reorder the terms:
7 + x + x2 = x + 23
Reorder the terms:
7 + x + x2 = 23 + x
Add '-1x' to each side of the equation.
7 + x + -1x + x2 = 23 + x + -1x
Combine like terms: x + -1x = 0
7 + 0 + x2 = 23 + x + -1x
7 + x2 = 23 + x + -1x
Combine like terms: x + -1x = 0
7 + x2 = 23 + 0
7 + x2 = 23
Solving
7 + x2 = 23
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + x2 = 23 + -7
Combine like terms: 7 + -7 = 0
0 + x2 = 23 + -7
x2 = 23 + -7
Combine like terms: 23 + -7 = 16
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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