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Simplifying 10(3x + -2) = 5(2 + -4x) Reorder the terms: 10(-2 + 3x) = 5(2 + -4x) (-2 * 10 + 3x * 10) = 5(2 + -4x) (-20 + 30x) = 5(2 + -4x) -20 + 30x = (2 * 5 + -4x * 5) -20 + 30x = (10 + -20x) Solving -20 + 30x = 10 + -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. -20 + 30x + 20x = 10 + -20x + 20x Combine like terms: 30x + 20x = 50x -20 + 50x = 10 + -20x + 20x Combine like terms: -20x + 20x = 0 -20 + 50x = 10 + 0 -20 + 50x = 10 Add '20' to each side of the equation. -20 + 20 + 50x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 50x = 10 + 20 50x = 10 + 20 Combine like terms: 10 + 20 = 30 50x = 30 Divide each side by '50'. x = 0.6 Simplifying x = 0.6
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