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Simplifying 2x + 1(3x + 4) + 2 = 14 + 2 Reorder the terms: 2x + 1(4 + 3x) + 2 = 14 + 2 2x + (4 * 1 + 3x * 1) + 2 = 14 + 2 2x + (4 + 3x) + 2 = 14 + 2 Reorder the terms: 4 + 2 + 2x + 3x = 14 + 2 Combine like terms: 4 + 2 = 6 6 + 2x + 3x = 14 + 2 Combine like terms: 2x + 3x = 5x 6 + 5x = 14 + 2 Combine like terms: 14 + 2 = 16 6 + 5x = 16 Solving 6 + 5x = 16 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 = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 16 + -6 5x = 16 + -6 Combine like terms: 16 + -6 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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