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Simplifying 6(3x + 5) = 84 Reorder the terms: 6(5 + 3x) = 84 (5 * 6 + 3x * 6) = 84 (30 + 18x) = 84 Solving 30 + 18x = 84 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 + 18x = 84 + -30 Combine like terms: 30 + -30 = 0 0 + 18x = 84 + -30 18x = 84 + -30 Combine like terms: 84 + -30 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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