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Simplifying 2(2x + 2) + 2x = 52 Reorder the terms: 2(2 + 2x) + 2x = 52 (2 * 2 + 2x * 2) + 2x = 52 (4 + 4x) + 2x = 52 Combine like terms: 4x + 2x = 6x 4 + 6x = 52 Solving 4 + 6x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 6x = 52 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 52 + -4 6x = 52 + -4 Combine like terms: 52 + -4 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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