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Simplifying (3x + -1)(x + 1) = 3x2 Reorder the terms: (-1 + 3x)(x + 1) = 3x2 Reorder the terms: (-1 + 3x)(1 + x) = 3x2 Multiply (-1 + 3x) * (1 + x) (-1(1 + x) + 3x * (1 + x)) = 3x2 ((1 * -1 + x * -1) + 3x * (1 + x)) = 3x2 ((-1 + -1x) + 3x * (1 + x)) = 3x2 (-1 + -1x + (1 * 3x + x * 3x)) = 3x2 (-1 + -1x + (3x + 3x2)) = 3x2 Combine like terms: -1x + 3x = 2x (-1 + 2x + 3x2) = 3x2 Add '-3x2' to each side of the equation. -1 + 2x + 3x2 + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -1 + 2x + 0 = 3x2 + -3x2 -1 + 2x = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -1 + 2x = 0 Solving -1 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 0 + 1 2x = 0 + 1 Combine like terms: 0 + 1 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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