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Simplifying (2x + -1)(x + 3) = 2x(x + 1) Reorder the terms: (-1 + 2x)(x + 3) = 2x(x + 1) Reorder the terms: (-1 + 2x)(3 + x) = 2x(x + 1) Multiply (-1 + 2x) * (3 + x) (-1(3 + x) + 2x * (3 + x)) = 2x(x + 1) ((3 * -1 + x * -1) + 2x * (3 + x)) = 2x(x + 1) ((-3 + -1x) + 2x * (3 + x)) = 2x(x + 1) (-3 + -1x + (3 * 2x + x * 2x)) = 2x(x + 1) (-3 + -1x + (6x + 2x2)) = 2x(x + 1) Combine like terms: -1x + 6x = 5x (-3 + 5x + 2x2) = 2x(x + 1) Reorder the terms: -3 + 5x + 2x2 = 2x(1 + x) -3 + 5x + 2x2 = (1 * 2x + x * 2x) -3 + 5x + 2x2 = (2x + 2x2) Add '-2x2' to each side of the equation. -3 + 5x + 2x2 + -2x2 = 2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3 + 5x + 0 = 2x + 2x2 + -2x2 -3 + 5x = 2x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3 + 5x = 2x + 0 -3 + 5x = 2x Solving -3 + 5x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 5x + -2x = 2x + -2x Combine like terms: 5x + -2x = 3x -3 + 3x = 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 3x = 0 Add '3' to each side of the equation. -3 + 3 + 3x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 0 + 3 3x = 0 + 3 Combine like terms: 0 + 3 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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