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Simplifying 3(x + 2) + -5(4x + -4) = 0 Reorder the terms: 3(2 + x) + -5(4x + -4) = 0 (2 * 3 + x * 3) + -5(4x + -4) = 0 (6 + 3x) + -5(4x + -4) = 0 Reorder the terms: 6 + 3x + -5(-4 + 4x) = 0 6 + 3x + (-4 * -5 + 4x * -5) = 0 6 + 3x + (20 + -20x) = 0 Reorder the terms: 6 + 20 + 3x + -20x = 0 Combine like terms: 6 + 20 = 26 26 + 3x + -20x = 0 Combine like terms: 3x + -20x = -17x 26 + -17x = 0 Solving 26 + -17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -17x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -17x = 0 + -26 -17x = 0 + -26 Combine like terms: 0 + -26 = -26 -17x = -26 Divide each side by '-17'. x = 1.529411765 Simplifying x = 1.529411765
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