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Simplifying (3x + 2)(-5 + -4) = 0 Reorder the terms: (2 + 3x)(-5 + -4) = 0 Combine like terms: -5 + -4 = -9 (2 + 3x)(-9) = 0 Reorder the terms for easier multiplication: -9(2 + 3x) = 0 (2 * -9 + 3x * -9) = 0 (-18 + -27x) = 0 Solving -18 + -27x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -27x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -27x = 0 + 18 -27x = 0 + 18 Combine like terms: 0 + 18 = 18 -27x = 18 Divide each side by '-27'. x = -0.6666666667 Simplifying x = -0.6666666667
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