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Simplifying 2(11 + 2x) + 2(19 + 2x) = 76 (11 * 2 + 2x * 2) + 2(19 + 2x) = 76 (22 + 4x) + 2(19 + 2x) = 76 22 + 4x + (19 * 2 + 2x * 2) = 76 22 + 4x + (38 + 4x) = 76 Reorder the terms: 22 + 38 + 4x + 4x = 76 Combine like terms: 22 + 38 = 60 60 + 4x + 4x = 76 Combine like terms: 4x + 4x = 8x 60 + 8x = 76 Solving 60 + 8x = 76 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 8x = 76 + -60 Combine like terms: 60 + -60 = 0 0 + 8x = 76 + -60 8x = 76 + -60 Combine like terms: 76 + -60 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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