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Simplifying (2x + 2)(x + -1) = 0 Reorder the terms: (2 + 2x)(x + -1) = 0 Reorder the terms: (2 + 2x)(-1 + x) = 0 Multiply (2 + 2x) * (-1 + x) (2(-1 + x) + 2x * (-1 + x)) = 0 ((-1 * 2 + x * 2) + 2x * (-1 + x)) = 0 ((-2 + 2x) + 2x * (-1 + x)) = 0 (-2 + 2x + (-1 * 2x + x * 2x)) = 0 (-2 + 2x + (-2x + 2x2)) = 0 Combine like terms: 2x + -2x = 0 (-2 + 0 + 2x2) = 0 (-2 + 2x2) = 0 Solving -2 + 2x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2x2 = 0 + 2 2x2 = 0 + 2 Combine like terms: 0 + 2 = 2 2x2 = 2 Divide each side by '2'. x2 = 1 Simplifying x2 = 1 Take the square root of each side: x = {-1, 1}
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