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Simplifying 3(2x + 4) + 2x + 14 = 33 * 2 Reorder the terms: 3(4 + 2x) + 2x + 14 = 33 * 2 (4 * 3 + 2x * 3) + 2x + 14 = 33 * 2 (12 + 6x) + 2x + 14 = 33 * 2 Reorder the terms: 12 + 14 + 6x + 2x = 33 * 2 Combine like terms: 12 + 14 = 26 26 + 6x + 2x = 33 * 2 Combine like terms: 6x + 2x = 8x 26 + 8x = 33 * 2 Multiply 33 * 2 26 + 8x = 66 Solving 26 + 8x = 66 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 8x = 66 + -26 Combine like terms: 26 + -26 = 0 0 + 8x = 66 + -26 8x = 66 + -26 Combine like terms: 66 + -26 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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