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Simplifying 2(3x + -5) + -5(4x + 2) = 5 + 12x Reorder the terms: 2(-5 + 3x) + -5(4x + 2) = 5 + 12x (-5 * 2 + 3x * 2) + -5(4x + 2) = 5 + 12x (-10 + 6x) + -5(4x + 2) = 5 + 12x Reorder the terms: -10 + 6x + -5(2 + 4x) = 5 + 12x -10 + 6x + (2 * -5 + 4x * -5) = 5 + 12x -10 + 6x + (-10 + -20x) = 5 + 12x Reorder the terms: -10 + -10 + 6x + -20x = 5 + 12x Combine like terms: -10 + -10 = -20 -20 + 6x + -20x = 5 + 12x Combine like terms: 6x + -20x = -14x -20 + -14x = 5 + 12x Solving -20 + -14x = 5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -20 + -14x + -12x = 5 + 12x + -12x Combine like terms: -14x + -12x = -26x -20 + -26x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + -26x = 5 + 0 -20 + -26x = 5 Add '20' to each side of the equation. -20 + 20 + -26x = 5 + 20 Combine like terms: -20 + 20 = 0 0 + -26x = 5 + 20 -26x = 5 + 20 Combine like terms: 5 + 20 = 25 -26x = 25 Divide each side by '-26'. x = -0.9615384615 Simplifying x = -0.9615384615
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