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Simplifying (2x + -1)(2x + -1) = (2x + 2)(2x + 2) Reorder the terms: (-1 + 2x)(2x + -1) = (2x + 2)(2x + 2) Reorder the terms: (-1 + 2x)(-1 + 2x) = (2x + 2)(2x + 2) Multiply (-1 + 2x) * (-1 + 2x) (-1(-1 + 2x) + 2x * (-1 + 2x)) = (2x + 2)(2x + 2) ((-1 * -1 + 2x * -1) + 2x * (-1 + 2x)) = (2x + 2)(2x + 2) ((1 + -2x) + 2x * (-1 + 2x)) = (2x + 2)(2x + 2) (1 + -2x + (-1 * 2x + 2x * 2x)) = (2x + 2)(2x + 2) (1 + -2x + (-2x + 4x2)) = (2x + 2)(2x + 2) Combine like terms: -2x + -2x = -4x (1 + -4x + 4x2) = (2x + 2)(2x + 2) Reorder the terms: 1 + -4x + 4x2 = (2 + 2x)(2x + 2) Reorder the terms: 1 + -4x + 4x2 = (2 + 2x)(2 + 2x) Multiply (2 + 2x) * (2 + 2x) 1 + -4x + 4x2 = (2(2 + 2x) + 2x * (2 + 2x)) 1 + -4x + 4x2 = ((2 * 2 + 2x * 2) + 2x * (2 + 2x)) 1 + -4x + 4x2 = ((4 + 4x) + 2x * (2 + 2x)) 1 + -4x + 4x2 = (4 + 4x + (2 * 2x + 2x * 2x)) 1 + -4x + 4x2 = (4 + 4x + (4x + 4x2)) Combine like terms: 4x + 4x = 8x 1 + -4x + 4x2 = (4 + 8x + 4x2) Add '-4x2' to each side of the equation. 1 + -4x + 4x2 + -4x2 = 4 + 8x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 1 + -4x + 0 = 4 + 8x + 4x2 + -4x2 1 + -4x = 4 + 8x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 1 + -4x = 4 + 8x + 0 1 + -4x = 4 + 8x Solving 1 + -4x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + -4x + -8x = 4 + 8x + -8x Combine like terms: -4x + -8x = -12x 1 + -12x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -12x = 4 + 0 1 + -12x = 4 Add '-1' to each side of the equation. 1 + -1 + -12x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -12x = 4 + -1 -12x = 4 + -1 Combine like terms: 4 + -1 = 3 -12x = 3 Divide each side by '-12'. x = -0.25 Simplifying x = -0.25
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