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Simplifying 2(2x + 5) + 2x = 46 Reorder the terms: 2(5 + 2x) + 2x = 46 (5 * 2 + 2x * 2) + 2x = 46 (10 + 4x) + 2x = 46 Combine like terms: 4x + 2x = 6x 10 + 6x = 46 Solving 10 + 6x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6x = 46 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 46 + -10 6x = 46 + -10 Combine like terms: 46 + -10 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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