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