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Simplifying (2x + -1)(1 + 2x) = 4x(x + -1) + -10 Reorder the terms: (-1 + 2x)(1 + 2x) = 4x(x + -1) + -10 Multiply (-1 + 2x) * (1 + 2x) (-1(1 + 2x) + 2x * (1 + 2x)) = 4x(x + -1) + -10 ((1 * -1 + 2x * -1) + 2x * (1 + 2x)) = 4x(x + -1) + -10 ((-1 + -2x) + 2x * (1 + 2x)) = 4x(x + -1) + -10 (-1 + -2x + (1 * 2x + 2x * 2x)) = 4x(x + -1) + -10 (-1 + -2x + (2x + 4x2)) = 4x(x + -1) + -10 Combine like terms: -2x + 2x = 0 (-1 + 0 + 4x2) = 4x(x + -1) + -10 (-1 + 4x2) = 4x(x + -1) + -10 Reorder the terms: -1 + 4x2 = 4x(-1 + x) + -10 -1 + 4x2 = (-1 * 4x + x * 4x) + -10 -1 + 4x2 = (-4x + 4x2) + -10 Reorder the terms: -1 + 4x2 = -10 + -4x + 4x2 Add '-4x2' to each side of the equation. -1 + 4x2 + -4x2 = -10 + -4x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -1 + 0 = -10 + -4x + 4x2 + -4x2 -1 = -10 + -4x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -1 = -10 + -4x + 0 -1 = -10 + -4x Solving -1 = -10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -1 + 4x = -10 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 4x = -10 + 0 -1 + 4x = -10 Add '1' to each side of the equation. -1 + 1 + 4x = -10 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = -10 + 1 4x = -10 + 1 Combine like terms: -10 + 1 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25
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