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Simplifying 5(2x + 4) = 2(3 + -2x) Reorder the terms: 5(4 + 2x) = 2(3 + -2x) (4 * 5 + 2x * 5) = 2(3 + -2x) (20 + 10x) = 2(3 + -2x) 20 + 10x = (3 * 2 + -2x * 2) 20 + 10x = (6 + -4x) Solving 20 + 10x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 20 + 10x + 4x = 6 + -4x + 4x Combine like terms: 10x + 4x = 14x 20 + 14x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 20 + 14x = 6 + 0 20 + 14x = 6 Add '-20' to each side of the equation. 20 + -20 + 14x = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 14x = 6 + -20 14x = 6 + -20 Combine like terms: 6 + -20 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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