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Simplifying (x + 2)(2x + -1) = 2x(x + 3) Reorder the terms: (2 + x)(2x + -1) = 2x(x + 3) Reorder the terms: (2 + x)(-1 + 2x) = 2x(x + 3) Multiply (2 + x) * (-1 + 2x) (2(-1 + 2x) + x(-1 + 2x)) = 2x(x + 3) ((-1 * 2 + 2x * 2) + x(-1 + 2x)) = 2x(x + 3) ((-2 + 4x) + x(-1 + 2x)) = 2x(x + 3) (-2 + 4x + (-1 * x + 2x * x)) = 2x(x + 3) (-2 + 4x + (-1x + 2x2)) = 2x(x + 3) Combine like terms: 4x + -1x = 3x (-2 + 3x + 2x2) = 2x(x + 3) Reorder the terms: -2 + 3x + 2x2 = 2x(3 + x) -2 + 3x + 2x2 = (3 * 2x + x * 2x) -2 + 3x + 2x2 = (6x + 2x2) Add '-2x2' to each side of the equation. -2 + 3x + 2x2 + -2x2 = 6x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -2 + 3x + 0 = 6x + 2x2 + -2x2 -2 + 3x = 6x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -2 + 3x = 6x + 0 -2 + 3x = 6x Solving -2 + 3x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 3x + -6x = 6x + -6x Combine like terms: 3x + -6x = -3x -2 + -3x = 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -3x = 0 Add '2' to each side of the equation. -2 + 2 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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