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Simplifying (4x + 3)(8 + -3x) = -2x(6x + -2) Reorder the terms: (3 + 4x)(8 + -3x) = -2x(6x + -2) Multiply (3 + 4x) * (8 + -3x) (3(8 + -3x) + 4x * (8 + -3x)) = -2x(6x + -2) ((8 * 3 + -3x * 3) + 4x * (8 + -3x)) = -2x(6x + -2) ((24 + -9x) + 4x * (8 + -3x)) = -2x(6x + -2) (24 + -9x + (8 * 4x + -3x * 4x)) = -2x(6x + -2) (24 + -9x + (32x + -12x2)) = -2x(6x + -2) Combine like terms: -9x + 32x = 23x (24 + 23x + -12x2) = -2x(6x + -2) Reorder the terms: 24 + 23x + -12x2 = -2x(-2 + 6x) 24 + 23x + -12x2 = (-2 * -2x + 6x * -2x) 24 + 23x + -12x2 = (4x + -12x2) Add '12x2' to each side of the equation. 24 + 23x + -12x2 + 12x2 = 4x + -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 24 + 23x + 0 = 4x + -12x2 + 12x2 24 + 23x = 4x + -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 24 + 23x = 4x + 0 24 + 23x = 4x Solving 24 + 23x = 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. 24 + 23x + -4x = 4x + -4x Combine like terms: 23x + -4x = 19x 24 + 19x = 4x + -4x Combine like terms: 4x + -4x = 0 24 + 19x = 0 Add '-24' to each side of the equation. 24 + -24 + 19x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 19x = 0 + -24 19x = 0 + -24 Combine like terms: 0 + -24 = -24 19x = -24 Divide each side by '19'. x = -1.263157895 Simplifying x = -1.263157895
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