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Simplifying 6(x + 3) = 3(2 + 3) + 9 Reorder the terms: 6(3 + x) = 3(2 + 3) + 9 (3 * 6 + x * 6) = 3(2 + 3) + 9 (18 + 6x) = 3(2 + 3) + 9 Combine like terms: 2 + 3 = 5 18 + 6x = 3(5) + 9 Multiply 3 * 5 18 + 6x = 15 + 9 Combine like terms: 15 + 9 = 24 18 + 6x = 24 Solving 18 + 6x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 6x = 24 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 24 + -18 6x = 24 + -18 Combine like terms: 24 + -18 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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