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Simplifying 2(2x + 6) + 2x = 78 Reorder the terms: 2(6 + 2x) + 2x = 78 (6 * 2 + 2x * 2) + 2x = 78 (12 + 4x) + 2x = 78 Combine like terms: 4x + 2x = 6x 12 + 6x = 78 Solving 12 + 6x = 78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6x = 78 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 78 + -12 6x = 78 + -12 Combine like terms: 78 + -12 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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