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Simplifying 3(x + 6) + -14 + 2x = 34 Reorder the terms: 3(6 + x) + -14 + 2x = 34 (6 * 3 + x * 3) + -14 + 2x = 34 (18 + 3x) + -14 + 2x = 34 Reorder the terms: 18 + -14 + 3x + 2x = 34 Combine like terms: 18 + -14 = 4 4 + 3x + 2x = 34 Combine like terms: 3x + 2x = 5x 4 + 5x = 34 Solving 4 + 5x = 34 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 + 5x = 34 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 34 + -4 5x = 34 + -4 Combine like terms: 34 + -4 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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