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Simplifying 3(x + 6) + 2(x + 3) = 64 Reorder the terms: 3(6 + x) + 2(x + 3) = 64 (6 * 3 + x * 3) + 2(x + 3) = 64 (18 + 3x) + 2(x + 3) = 64 Reorder the terms: 18 + 3x + 2(3 + x) = 64 18 + 3x + (3 * 2 + x * 2) = 64 18 + 3x + (6 + 2x) = 64 Reorder the terms: 18 + 6 + 3x + 2x = 64 Combine like terms: 18 + 6 = 24 24 + 3x + 2x = 64 Combine like terms: 3x + 2x = 5x 24 + 5x = 64 Solving 24 + 5x = 64 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 = 64 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = 64 + -24 5x = 64 + -24 Combine like terms: 64 + -24 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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