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Simplifying 2x(6x + -10) = 50 + x(12x + 5) Reorder the terms: 2x(-10 + 6x) = 50 + x(12x + 5) (-10 * 2x + 6x * 2x) = 50 + x(12x + 5) (-20x + 12x2) = 50 + x(12x + 5) Reorder the terms: -20x + 12x2 = 50 + x(5 + 12x) -20x + 12x2 = 50 + (5 * x + 12x * x) -20x + 12x2 = 50 + (5x + 12x2) Add '-12x2' to each side of the equation. -20x + 12x2 + -12x2 = 50 + 5x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -20x + 0 = 50 + 5x + 12x2 + -12x2 -20x = 50 + 5x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -20x = 50 + 5x + 0 -20x = 50 + 5x Solving -20x = 50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -20x + -5x = 50 + 5x + -5x Combine like terms: -20x + -5x = -25x -25x = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 -25x = 50 + 0 -25x = 50 Divide each side by '-25'. x = -2 Simplifying x = -2
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