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Simplifying (3x + -2)(2x + 1) + -20 = 6x(x + -5) Reorder the terms: (-2 + 3x)(2x + 1) + -20 = 6x(x + -5) Reorder the terms: (-2 + 3x)(1 + 2x) + -20 = 6x(x + -5) Multiply (-2 + 3x) * (1 + 2x) (-2(1 + 2x) + 3x * (1 + 2x)) + -20 = 6x(x + -5) ((1 * -2 + 2x * -2) + 3x * (1 + 2x)) + -20 = 6x(x + -5) ((-2 + -4x) + 3x * (1 + 2x)) + -20 = 6x(x + -5) (-2 + -4x + (1 * 3x + 2x * 3x)) + -20 = 6x(x + -5) (-2 + -4x + (3x + 6x2)) + -20 = 6x(x + -5) Combine like terms: -4x + 3x = -1x (-2 + -1x + 6x2) + -20 = 6x(x + -5) Reorder the terms: -2 + -20 + -1x + 6x2 = 6x(x + -5) Combine like terms: -2 + -20 = -22 -22 + -1x + 6x2 = 6x(x + -5) Reorder the terms: -22 + -1x + 6x2 = 6x(-5 + x) -22 + -1x + 6x2 = (-5 * 6x + x * 6x) -22 + -1x + 6x2 = (-30x + 6x2) Add '-6x2' to each side of the equation. -22 + -1x + 6x2 + -6x2 = -30x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -22 + -1x + 0 = -30x + 6x2 + -6x2 -22 + -1x = -30x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -22 + -1x = -30x + 0 -22 + -1x = -30x Solving -22 + -1x = -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -22 + -1x + 30x = -30x + 30x Combine like terms: -1x + 30x = 29x -22 + 29x = -30x + 30x Combine like terms: -30x + 30x = 0 -22 + 29x = 0 Add '22' to each side of the equation. -22 + 22 + 29x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 29x = 0 + 22 29x = 0 + 22 Combine like terms: 0 + 22 = 22 29x = 22 Divide each side by '29'. x = 0.7586206897 Simplifying x = 0.7586206897
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