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Simplifying 2(10 + 2x) + 2(16 + 2x) = 68 (10 * 2 + 2x * 2) + 2(16 + 2x) = 68 (20 + 4x) + 2(16 + 2x) = 68 20 + 4x + (16 * 2 + 2x * 2) = 68 20 + 4x + (32 + 4x) = 68 Reorder the terms: 20 + 32 + 4x + 4x = 68 Combine like terms: 20 + 32 = 52 52 + 4x + 4x = 68 Combine like terms: 4x + 4x = 8x 52 + 8x = 68 Solving 52 + 8x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 8x = 68 + -52 Combine like terms: 52 + -52 = 0 0 + 8x = 68 + -52 8x = 68 + -52 Combine like terms: 68 + -52 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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