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Simplifying 2(2x + 3) + 2(x + 4) = 20 Reorder the terms: 2(3 + 2x) + 2(x + 4) = 20 (3 * 2 + 2x * 2) + 2(x + 4) = 20 (6 + 4x) + 2(x + 4) = 20 Reorder the terms: 6 + 4x + 2(4 + x) = 20 6 + 4x + (4 * 2 + x * 2) = 20 6 + 4x + (8 + 2x) = 20 Reorder the terms: 6 + 8 + 4x + 2x = 20 Combine like terms: 6 + 8 = 14 14 + 4x + 2x = 20 Combine like terms: 4x + 2x = 6x 14 + 6x = 20 Solving 14 + 6x = 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 + 6x = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 20 + -14 6x = 20 + -14 Combine like terms: 20 + -14 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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