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Simplifying 2(x + 3) + 3(x + 6) = 54 Reorder the terms: 2(3 + x) + 3(x + 6) = 54 (3 * 2 + x * 2) + 3(x + 6) = 54 (6 + 2x) + 3(x + 6) = 54 Reorder the terms: 6 + 2x + 3(6 + x) = 54 6 + 2x + (6 * 3 + x * 3) = 54 6 + 2x + (18 + 3x) = 54 Reorder the terms: 6 + 18 + 2x + 3x = 54 Combine like terms: 6 + 18 = 24 24 + 2x + 3x = 54 Combine like terms: 2x + 3x = 5x 24 + 5x = 54 Solving 24 + 5x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 5x = 54 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = 54 + -24 5x = 54 + -24 Combine like terms: 54 + -24 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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