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Simplifying 6(2 + x) + 2(1 + -2x) = 20 (2 * 6 + x * 6) + 2(1 + -2x) = 20 (12 + 6x) + 2(1 + -2x) = 20 12 + 6x + (1 * 2 + -2x * 2) = 20 12 + 6x + (2 + -4x) = 20 Reorder the terms: 12 + 2 + 6x + -4x = 20 Combine like terms: 12 + 2 = 14 14 + 6x + -4x = 20 Combine like terms: 6x + -4x = 2x 14 + 2x = 20 Solving 14 + 2x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 2x = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 20 + -14 2x = 20 + -14 Combine like terms: 20 + -14 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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