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Simplifying 0 = (x * 2 + -2x + -3)(x * 2 + -4x + 8) Reorder the terms for easier multiplication: 0 = (2x + -2x + -3)(x * 2 + -4x + 8) Reorder the terms: 0 = (-3 + 2x + -2x)(x * 2 + -4x + 8) Combine like terms: 2x + -2x = 0 0 = (-3 + 0)(x * 2 + -4x + 8) 0 = (-3)(x * 2 + -4x + 8) Reorder the terms for easier multiplication: 0 = -3(2x + -4x + 8) Reorder the terms: 0 = -3(8 + 2x + -4x) Combine like terms: 2x + -4x = -2x 0 = -3(8 + -2x) 0 = (8 * -3 + -2x * -3) 0 = (-24 + 6x) Solving 0 = -24 + 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. 0 + -6x = -24 + 6x + -6x Remove the zero: -6x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -6x = -24 + 0 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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