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Simplifying 2(2x + 7) + 2(x + 6) = 44 Reorder the terms: 2(7 + 2x) + 2(x + 6) = 44 (7 * 2 + 2x * 2) + 2(x + 6) = 44 (14 + 4x) + 2(x + 6) = 44 Reorder the terms: 14 + 4x + 2(6 + x) = 44 14 + 4x + (6 * 2 + x * 2) = 44 14 + 4x + (12 + 2x) = 44 Reorder the terms: 14 + 12 + 4x + 2x = 44 Combine like terms: 14 + 12 = 26 26 + 4x + 2x = 44 Combine like terms: 4x + 2x = 6x 26 + 6x = 44 Solving 26 + 6x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 6x = 44 + -26 Combine like terms: 26 + -26 = 0 0 + 6x = 44 + -26 6x = 44 + -26 Combine like terms: 44 + -26 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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