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Simplifying 2(11 + 2x) + 2(19 + 2x) = 68 (11 * 2 + 2x * 2) + 2(19 + 2x) = 68 (22 + 4x) + 2(19 + 2x) = 68 22 + 4x + (19 * 2 + 2x * 2) = 68 22 + 4x + (38 + 4x) = 68 Reorder the terms: 22 + 38 + 4x + 4x = 68 Combine like terms: 22 + 38 = 60 60 + 4x + 4x = 68 Combine like terms: 4x + 4x = 8x 60 + 8x = 68 Solving 60 + 8x = 68 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 = 68 + -60 Combine like terms: 60 + -60 = 0 0 + 8x = 68 + -60 8x = 68 + -60 Combine like terms: 68 + -60 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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