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Simplifying X + 13 = (x + -7)(x + -7) Reorder the terms: 13 + X = (x + -7)(x + -7) Reorder the terms: 13 + X = (-7 + x)(x + -7) Reorder the terms: 13 + X = (-7 + x)(-7 + x) Multiply (-7 + x) * (-7 + x) 13 + X = (-7(-7 + x) + x(-7 + x)) 13 + X = ((-7 * -7 + x * -7) + x(-7 + x)) 13 + X = ((49 + -7x) + x(-7 + x)) 13 + X = (49 + -7x + (-7 * x + x * x)) 13 + X = (49 + -7x + (-7x + x2)) Combine like terms: -7x + -7x = -14x 13 + X = (49 + -14x + x2) Solving 13 + X = 49 + -14x + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + X = 49 + -14x + -13 + x2 Combine like terms: 13 + -13 = 0 0 + X = 49 + -14x + -13 + x2 X = 49 + -14x + -13 + x2 Reorder the terms: X = 49 + -13 + -14x + x2 Combine like terms: 49 + -13 = 36 X = 36 + -14x + x2 Simplifying X = 36 + -14x + x2
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