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Simplifying (2x + -5)(2x + 5) + -4x(x + -1) = -1 Reorder the terms: (-5 + 2x)(2x + 5) + -4x(x + -1) = -1 Reorder the terms: (-5 + 2x)(5 + 2x) + -4x(x + -1) = -1 Multiply (-5 + 2x) * (5 + 2x) (-5(5 + 2x) + 2x * (5 + 2x)) + -4x(x + -1) = -1 ((5 * -5 + 2x * -5) + 2x * (5 + 2x)) + -4x(x + -1) = -1 ((-25 + -10x) + 2x * (5 + 2x)) + -4x(x + -1) = -1 (-25 + -10x + (5 * 2x + 2x * 2x)) + -4x(x + -1) = -1 (-25 + -10x + (10x + 4x2)) + -4x(x + -1) = -1 Combine like terms: -10x + 10x = 0 (-25 + 0 + 4x2) + -4x(x + -1) = -1 (-25 + 4x2) + -4x(x + -1) = -1 Reorder the terms: -25 + 4x2 + -4x(-1 + x) = -1 -25 + 4x2 + (-1 * -4x + x * -4x) = -1 -25 + 4x2 + (4x + -4x2) = -1 Reorder the terms: -25 + 4x + 4x2 + -4x2 = -1 Combine like terms: 4x2 + -4x2 = 0 -25 + 4x + 0 = -1 -25 + 4x = -1 Solving -25 + 4x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 4x = -1 + 25 Combine like terms: -25 + 25 = 0 0 + 4x = -1 + 25 4x = -1 + 25 Combine like terms: -1 + 25 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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