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Simplifying 5[2 + -2(2x + -4)] = 2(5 + -3x) Reorder the terms: 5[2 + -2(-4 + 2x)] = 2(5 + -3x) 5[2 + (-4 * -2 + 2x * -2)] = 2(5 + -3x) 5[2 + (8 + -4x)] = 2(5 + -3x) Combine like terms: 2 + 8 = 10 5[10 + -4x] = 2(5 + -3x) [10 * 5 + -4x * 5] = 2(5 + -3x) [50 + -20x] = 2(5 + -3x) 50 + -20x = (5 * 2 + -3x * 2) 50 + -20x = (10 + -6x) Solving 50 + -20x = 10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 50 + -20x + 6x = 10 + -6x + 6x Combine like terms: -20x + 6x = -14x 50 + -14x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 50 + -14x = 10 + 0 50 + -14x = 10 Add '-50' to each side of the equation. 50 + -50 + -14x = 10 + -50 Combine like terms: 50 + -50 = 0 0 + -14x = 10 + -50 -14x = 10 + -50 Combine like terms: 10 + -50 = -40 -14x = -40 Divide each side by '-14'. x = 2.857142857 Simplifying x = 2.857142857
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