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Simplifying 2(10 + 2x) + 2(15 + 2x) = 66 (10 * 2 + 2x * 2) + 2(15 + 2x) = 66 (20 + 4x) + 2(15 + 2x) = 66 20 + 4x + (15 * 2 + 2x * 2) = 66 20 + 4x + (30 + 4x) = 66 Reorder the terms: 20 + 30 + 4x + 4x = 66 Combine like terms: 20 + 30 = 50 50 + 4x + 4x = 66 Combine like terms: 4x + 4x = 8x 50 + 8x = 66 Solving 50 + 8x = 66 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 8x = 66 + -50 Combine like terms: 50 + -50 = 0 0 + 8x = 66 + -50 8x = 66 + -50 Combine like terms: 66 + -50 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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