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Simplifying 2(3 + -2x) = 5(2 + -4x) (3 * 2 + -2x * 2) = 5(2 + -4x) (6 + -4x) = 5(2 + -4x) 6 + -4x = (2 * 5 + -4x * 5) 6 + -4x = (10 + -20x) Solving 6 + -4x = 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. 6 + -4x + 20x = 10 + -20x + 20x Combine like terms: -4x + 20x = 16x 6 + 16x = 10 + -20x + 20x Combine like terms: -20x + 20x = 0 6 + 16x = 10 + 0 6 + 16x = 10 Add '-6' to each side of the equation. 6 + -6 + 16x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 16x = 10 + -6 16x = 10 + -6 Combine like terms: 10 + -6 = 4 16x = 4 Divide each side by '16'. x = 0.25 Simplifying x = 0.25
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