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Simplifying 2(9) + 2(x + 6) = 52 Multiply 2 * 9 18 + 2(x + 6) = 52 Reorder the terms: 18 + 2(6 + x) = 52 18 + (6 * 2 + x * 2) = 52 18 + (12 + 2x) = 52 Combine like terms: 18 + 12 = 30 30 + 2x = 52 Solving 30 + 2x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 2x = 52 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = 52 + -30 2x = 52 + -30 Combine like terms: 52 + -30 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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