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Simplifying
1 + (x + 5)(x + 5) = (x + 12)(x + 12)

Reorder the terms:
1 + (5 + x)(x + 5) = (x + 12)(x + 12)

Reorder the terms:
1 + (5 + x)(5 + x) = (x + 12)(x + 12)

Multiply (5 + x) * (5 + x)
1 + (5(5 + x) + x(5 + x)) = (x + 12)(x + 12)
1 + ((5 * 5 + x * 5) + x(5 + x)) = (x + 12)(x + 12)
1 + ((25 + 5x) + x(5 + x)) = (x + 12)(x + 12)
1 + (25 + 5x + (5 * x + x * x)) = (x + 12)(x + 12)
1 + (25 + 5x + (5x + x2)) = (x + 12)(x + 12)

Combine like terms: 5x + 5x = 10x
1 + (25 + 10x + x2) = (x + 12)(x + 12)

Combine like terms: 1 + 25 = 26
26 + 10x + x2 = (x + 12)(x + 12)

Reorder the terms:
26 + 10x + x2 = (12 + x)(x + 12)

Reorder the terms:
26 + 10x + x2 = (12 + x)(12 + x)

Multiply (12 + x) * (12 + x)
26 + 10x + x2 = (12(12 + x) + x(12 + x))
26 + 10x + x2 = ((12 * 12 + x * 12) + x(12 + x))
26 + 10x + x2 = ((144 + 12x) + x(12 + x))
26 + 10x + x2 = (144 + 12x + (12 * x + x * x))
26 + 10x + x2 = (144 + 12x + (12x + x2))

Combine like terms: 12x + 12x = 24x
26 + 10x + x2 = (144 + 24x + x2)

Add '-1x2' to each side of the equation.
26 + 10x + x2 + -1x2 = 144 + 24x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
26 + 10x + 0 = 144 + 24x + x2 + -1x2
26 + 10x = 144 + 24x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
26 + 10x = 144 + 24x + 0
26 + 10x = 144 + 24x

Solving
26 + 10x = 144 + 24x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-24x' to each side of the equation.
26 + 10x + -24x = 144 + 24x + -24x

Combine like terms: 10x + -24x = -14x
26 + -14x = 144 + 24x + -24x

Combine like terms: 24x + -24x = 0
26 + -14x = 144 + 0
26 + -14x = 144

Add '-26' to each side of the equation.
26 + -26 + -14x = 144 + -26

Combine like terms: 26 + -26 = 0
0 + -14x = 144 + -26
-14x = 144 + -26

Combine like terms: 144 + -26 = 118
-14x = 118

Divide each side by '-14'.
x = -8.428571429

Simplifying
x = -8.428571429
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