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Simplifying 2(10 + 2x) + 2(18 + 2x) = 72 (10 * 2 + 2x * 2) + 2(18 + 2x) = 72 (20 + 4x) + 2(18 + 2x) = 72 20 + 4x + (18 * 2 + 2x * 2) = 72 20 + 4x + (36 + 4x) = 72 Reorder the terms: 20 + 36 + 4x + 4x = 72 Combine like terms: 20 + 36 = 56 56 + 4x + 4x = 72 Combine like terms: 4x + 4x = 8x 56 + 8x = 72 Solving 56 + 8x = 72 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 8x = 72 + -56 Combine like terms: 56 + -56 = 0 0 + 8x = 72 + -56 8x = 72 + -56 Combine like terms: 72 + -56 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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