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Simplifying 4x(5x + 3) = 2x(7x + 6) Reorder the terms: 4x(3 + 5x) = 2x(7x + 6) (3 * 4x + 5x * 4x) = 2x(7x + 6) (12x + 20x2) = 2x(7x + 6) Reorder the terms: 12x + 20x2 = 2x(6 + 7x) 12x + 20x2 = (6 * 2x + 7x * 2x) 12x + 20x2 = (12x + 14x2) Add '-12x' to each side of the equation. 12x + -12x + 20x2 = 12x + -12x + 14x2 Combine like terms: 12x + -12x = 0 0 + 20x2 = 12x + -12x + 14x2 20x2 = 12x + -12x + 14x2 Combine like terms: 12x + -12x = 0 20x2 = 0 + 14x2 20x2 = 14x2 Solving 20x2 = 14x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x2' to each side of the equation. 20x2 + -14x2 = 14x2 + -14x2 Combine like terms: 20x2 + -14x2 = 6x2 6x2 = 14x2 + -14x2 Combine like terms: 14x2 + -14x2 = 0 6x2 = 0 Divide each side by '6'. x2 = 0 Simplifying x2 = 0 Take the square root of each side: x = {0}
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