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Simplifying 3(7x + 8) + 6(4x + 9) = 223 Reorder the terms: 3(8 + 7x) + 6(4x + 9) = 223 (8 * 3 + 7x * 3) + 6(4x + 9) = 223 (24 + 21x) + 6(4x + 9) = 223 Reorder the terms: 24 + 21x + 6(9 + 4x) = 223 24 + 21x + (9 * 6 + 4x * 6) = 223 24 + 21x + (54 + 24x) = 223 Reorder the terms: 24 + 54 + 21x + 24x = 223 Combine like terms: 24 + 54 = 78 78 + 21x + 24x = 223 Combine like terms: 21x + 24x = 45x 78 + 45x = 223 Solving 78 + 45x = 223 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + 45x = 223 + -78 Combine like terms: 78 + -78 = 0 0 + 45x = 223 + -78 45x = 223 + -78 Combine like terms: 223 + -78 = 145 45x = 145 Divide each side by '45'. x = 3.222222222 Simplifying x = 3.222222222
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