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Simplifying 6(3 + x) + 24 = 84 (3 * 6 + x * 6) + 24 = 84 (18 + 6x) + 24 = 84 Reorder the terms: 18 + 24 + 6x = 84 Combine like terms: 18 + 24 = 42 42 + 6x = 84 Solving 42 + 6x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 6x = 84 + -42 Combine like terms: 42 + -42 = 0 0 + 6x = 84 + -42 6x = 84 + -42 Combine like terms: 84 + -42 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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