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Simplifying 3(x + 2) + 2x = 46 Reorder the terms: 3(2 + x) + 2x = 46 (2 * 3 + x * 3) + 2x = 46 (6 + 3x) + 2x = 46 Combine like terms: 3x + 2x = 5x 6 + 5x = 46 Solving 6 + 5x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 46 + -6 5x = 46 + -6 Combine like terms: 46 + -6 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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