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Simplifying (3x + -2)(2x + 1) = x(6x + -2) Reorder the terms: (-2 + 3x)(2x + 1) = x(6x + -2) Reorder the terms: (-2 + 3x)(1 + 2x) = x(6x + -2) Multiply (-2 + 3x) * (1 + 2x) (-2(1 + 2x) + 3x * (1 + 2x)) = x(6x + -2) ((1 * -2 + 2x * -2) + 3x * (1 + 2x)) = x(6x + -2) ((-2 + -4x) + 3x * (1 + 2x)) = x(6x + -2) (-2 + -4x + (1 * 3x + 2x * 3x)) = x(6x + -2) (-2 + -4x + (3x + 6x2)) = x(6x + -2) Combine like terms: -4x + 3x = -1x (-2 + -1x + 6x2) = x(6x + -2) Reorder the terms: -2 + -1x + 6x2 = x(-2 + 6x) -2 + -1x + 6x2 = (-2 * x + 6x * x) -2 + -1x + 6x2 = (-2x + 6x2) Add '-6x2' to each side of the equation. -2 + -1x + 6x2 + -6x2 = -2x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2 + -1x + 0 = -2x + 6x2 + -6x2 -2 + -1x = -2x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -2 + -1x = -2x + 0 -2 + -1x = -2x Solving -2 + -1x = -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. -2 + -1x + 2x = -2x + 2x Combine like terms: -1x + 2x = 1x -2 + 1x = -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 1x = 0 Add '2' to each side of the equation. -2 + 2 + 1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 0 + 2 1x = 0 + 2 Combine like terms: 0 + 2 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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