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Simplifying 3(4x + -5) + 4(2x + 6) = 0 Reorder the terms: 3(-5 + 4x) + 4(2x + 6) = 0 (-5 * 3 + 4x * 3) + 4(2x + 6) = 0 (-15 + 12x) + 4(2x + 6) = 0 Reorder the terms: -15 + 12x + 4(6 + 2x) = 0 -15 + 12x + (6 * 4 + 2x * 4) = 0 -15 + 12x + (24 + 8x) = 0 Reorder the terms: -15 + 24 + 12x + 8x = 0 Combine like terms: -15 + 24 = 9 9 + 12x + 8x = 0 Combine like terms: 12x + 8x = 20x 9 + 20x = 0 Solving 9 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 20x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 20x = 0 + -9 20x = 0 + -9 Combine like terms: 0 + -9 = -9 20x = -9 Divide each side by '20'. x = -0.45 Simplifying x = -0.45
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