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Simplifying x(2x + 3) + 20 = 2x(x + -3) Reorder the terms: x(3 + 2x) + 20 = 2x(x + -3) (3 * x + 2x * x) + 20 = 2x(x + -3) (3x + 2x2) + 20 = 2x(x + -3) Reorder the terms: 20 + 3x + 2x2 = 2x(x + -3) Reorder the terms: 20 + 3x + 2x2 = 2x(-3 + x) 20 + 3x + 2x2 = (-3 * 2x + x * 2x) 20 + 3x + 2x2 = (-6x + 2x2) Add '-2x2' to each side of the equation. 20 + 3x + 2x2 + -2x2 = -6x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 20 + 3x + 0 = -6x + 2x2 + -2x2 20 + 3x = -6x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 20 + 3x = -6x + 0 20 + 3x = -6x Solving 20 + 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. 20 + 3x + 6x = -6x + 6x Combine like terms: 3x + 6x = 9x 20 + 9x = -6x + 6x Combine like terms: -6x + 6x = 0 20 + 9x = 0 Add '-20' to each side of the equation. 20 + -20 + 9x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 9x = 0 + -20 9x = 0 + -20 Combine like terms: 0 + -20 = -20 9x = -20 Divide each side by '9'. x = -2.222222222 Simplifying x = -2.222222222
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