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Simplifying 2(x + 15) + 2x = 78 Reorder the terms: 2(15 + x) + 2x = 78 (15 * 2 + x * 2) + 2x = 78 (30 + 2x) + 2x = 78 Combine like terms: 2x + 2x = 4x 30 + 4x = 78 Solving 30 + 4x = 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 + 4x = 78 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 78 + -30 4x = 78 + -30 Combine like terms: 78 + -30 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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