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Simplifying 2x + 2(2x + 15) = 78 Reorder the terms: 2x + 2(15 + 2x) = 78 2x + (15 * 2 + 2x * 2) = 78 2x + (30 + 4x) = 78 Reorder the terms: 30 + 2x + 4x = 78 Combine like terms: 2x + 4x = 6x 30 + 6x = 78 Solving 30 + 6x = 78 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 + 6x = 78 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = 78 + -30 6x = 78 + -30 Combine like terms: 78 + -30 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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