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Simplifying (3X + -2)(6x + 7) = 0 Reorder the terms: (-2 + 3X)(6x + 7) = 0 Reorder the terms: (-2 + 3X)(7 + 6x) = 0 Multiply (-2 + 3X) * (7 + 6x) (-2(7 + 6x) + 3X * (7 + 6x)) = 0 ((7 * -2 + 6x * -2) + 3X * (7 + 6x)) = 0 ((-14 + -12x) + 3X * (7 + 6x)) = 0 (-14 + -12x + (7 * 3X + 6x * 3X)) = 0 (-14 + -12x + (21X + 18xX)) = 0 Reorder the terms: (-14 + 21X + -12x + 18xX) = 0 (-14 + 21X + -12x + 18xX) = 0 Solving -14 + 21X + -12x + 18xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 21X + -12x + 14 + 18xX = 0 + 14 Reorder the terms: -14 + 14 + 21X + -12x + 18xX = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 21X + -12x + 18xX = 0 + 14 21X + -12x + 18xX = 0 + 14 Combine like terms: 0 + 14 = 14 21X + -12x + 18xX = 14 Add '12x' to each side of the equation. 21X + -12x + 12x + 18xX = 14 + 12x Combine like terms: -12x + 12x = 0 21X + 0 + 18xX = 14 + 12x 21X + 18xX = 14 + 12x Reorder the terms: -14 + 21X + -12x + 18xX = 14 + 12x + -14 + -12x Reorder the terms: -14 + 21X + -12x + 18xX = 14 + -14 + 12x + -12x Combine like terms: 14 + -14 = 0 -14 + 21X + -12x + 18xX = 0 + 12x + -12x -14 + 21X + -12x + 18xX = 12x + -12x Combine like terms: 12x + -12x = 0 -14 + 21X + -12x + 18xX = 0 The solution to this equation could not be determined.
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