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Simplifying 3(4x + 2) + -4(2x + -5) = 0 Reorder the terms: 3(2 + 4x) + -4(2x + -5) = 0 (2 * 3 + 4x * 3) + -4(2x + -5) = 0 (6 + 12x) + -4(2x + -5) = 0 Reorder the terms: 6 + 12x + -4(-5 + 2x) = 0 6 + 12x + (-5 * -4 + 2x * -4) = 0 6 + 12x + (20 + -8x) = 0 Reorder the terms: 6 + 20 + 12x + -8x = 0 Combine like terms: 6 + 20 = 26 26 + 12x + -8x = 0 Combine like terms: 12x + -8x = 4x 26 + 4x = 0 Solving 26 + 4x = 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 + 4x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 4x = 0 + -26 4x = 0 + -26 Combine like terms: 0 + -26 = -26 4x = -26 Divide each side by '4'. x = -6.5 Simplifying x = -6.5
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