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Simplifying 6(4x + 5) = 102 Reorder the terms: 6(5 + 4x) = 102 (5 * 6 + 4x * 6) = 102 (30 + 24x) = 102 Solving 30 + 24x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 24x = 102 + -30 Combine like terms: 30 + -30 = 0 0 + 24x = 102 + -30 24x = 102 + -30 Combine like terms: 102 + -30 = 72 24x = 72 Divide each side by '24'. x = 3 Simplifying x = 3
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