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Simplifying (-7 + x)(-7 + -1x) = 0 Multiply (-7 + x) * (-7 + -1x) (-7(-7 + -1x) + x(-7 + -1x)) = 0 ((-7 * -7 + -1x * -7) + x(-7 + -1x)) = 0 ((49 + 7x) + x(-7 + -1x)) = 0 (49 + 7x + (-7 * x + -1x * x)) = 0 (49 + 7x + (-7x + -1x2)) = 0 Combine like terms: 7x + -7x = 0 (49 + 0 + -1x2) = 0 (49 + -1x2) = 0 Solving 49 + -1x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -1x2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1x2 = 0 + -49 -1x2 = 0 + -49 Combine like terms: 0 + -49 = -49 -1x2 = -49 Divide each side by '-1'. x2 = 49 Simplifying x2 = 49 Take the square root of each side: x = {-7, 7}
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