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Simplifying 2x + 4 + 2(2x + 3) = 46 Reorder the terms: 2x + 4 + 2(3 + 2x) = 46 2x + 4 + (3 * 2 + 2x * 2) = 46 2x + 4 + (6 + 4x) = 46 Reorder the terms: 4 + 6 + 2x + 4x = 46 Combine like terms: 4 + 6 = 10 10 + 2x + 4x = 46 Combine like terms: 2x + 4x = 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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