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Simplifying 6x(2x + -9) = 4x(3x + 5) Reorder the terms: 6x(-9 + 2x) = 4x(3x + 5) (-9 * 6x + 2x * 6x) = 4x(3x + 5) (-54x + 12x2) = 4x(3x + 5) Reorder the terms: -54x + 12x2 = 4x(5 + 3x) -54x + 12x2 = (5 * 4x + 3x * 4x) -54x + 12x2 = (20x + 12x2) Add '-12x2' to each side of the equation. -54x + 12x2 + -12x2 = 20x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -54x + 0 = 20x + 12x2 + -12x2 -54x = 20x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -54x = 20x + 0 -54x = 20x Solving -54x = 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -54x + -20x = 20x + -20x Combine like terms: -54x + -20x = -74x -74x = 20x + -20x Combine like terms: 20x + -20x = 0 -74x = 0 Divide each side by '-74'. x = 0 Simplifying x = 0
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