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Simplifying 2x(4 + -3x) + 5 = 3x2 + -4x + -3 + -9x2 (4 * 2x + -3x * 2x) + 5 = 3x2 + -4x + -3 + -9x2 (8x + -6x2) + 5 = 3x2 + -4x + -3 + -9x2 Reorder the terms: 5 + 8x + -6x2 = 3x2 + -4x + -3 + -9x2 Reorder the terms: 5 + 8x + -6x2 = -3 + -4x + 3x2 + -9x2 Combine like terms: 3x2 + -9x2 = -6x2 5 + 8x + -6x2 = -3 + -4x + -6x2 Add '6x2' to each side of the equation. 5 + 8x + -6x2 + 6x2 = -3 + -4x + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 5 + 8x + 0 = -3 + -4x + -6x2 + 6x2 5 + 8x = -3 + -4x + -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 5 + 8x = -3 + -4x + 0 5 + 8x = -3 + -4x Solving 5 + 8x = -3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 5 + 8x + 4x = -3 + -4x + 4x Combine like terms: 8x + 4x = 12x 5 + 12x = -3 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + 12x = -3 + 0 5 + 12x = -3 Add '-5' to each side of the equation. 5 + -5 + 12x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = -3 + -5 12x = -3 + -5 Combine like terms: -3 + -5 = -8 12x = -8 Divide each side by '12'. x = -0.6666666667 Simplifying x = -0.6666666667
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