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Simplifying 24(x + 3) = 3(8 + 2) + 66 Reorder the terms: 24(3 + x) = 3(8 + 2) + 66 (3 * 24 + x * 24) = 3(8 + 2) + 66 (72 + 24x) = 3(8 + 2) + 66 Combine like terms: 8 + 2 = 10 72 + 24x = 3(10) + 66 Multiply 3 * 10 72 + 24x = 30 + 66 Combine like terms: 30 + 66 = 96 72 + 24x = 96 Solving 72 + 24x = 96 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 24x = 96 + -72 Combine like terms: 72 + -72 = 0 0 + 24x = 96 + -72 24x = 96 + -72 Combine like terms: 96 + -72 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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