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Simplifying 2(10 + 2x) + 2(17 + 2x) = 78 (10 * 2 + 2x * 2) + 2(17 + 2x) = 78 (20 + 4x) + 2(17 + 2x) = 78 20 + 4x + (17 * 2 + 2x * 2) = 78 20 + 4x + (34 + 4x) = 78 Reorder the terms: 20 + 34 + 4x + 4x = 78 Combine like terms: 20 + 34 = 54 54 + 4x + 4x = 78 Combine like terms: 4x + 4x = 8x 54 + 8x = 78 Solving 54 + 8x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 8x = 78 + -54 Combine like terms: 54 + -54 = 0 0 + 8x = 78 + -54 8x = 78 + -54 Combine like terms: 78 + -54 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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