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Simplifying 3(4x + 2) + 5x = 30 + -6 Reorder the terms: 3(2 + 4x) + 5x = 30 + -6 (2 * 3 + 4x * 3) + 5x = 30 + -6 (6 + 12x) + 5x = 30 + -6 Combine like terms: 12x + 5x = 17x 6 + 17x = 30 + -6 Combine like terms: 30 + -6 = 24 6 + 17x = 24 Solving 6 + 17x = 24 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 + 17x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 17x = 24 + -6 17x = 24 + -6 Combine like terms: 24 + -6 = 18 17x = 18 Divide each side by '17'. x = 1.058823529 Simplifying x = 1.058823529
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