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Simplifying 3(2x + 5) + 4(3x + 2) = 104 Reorder the terms: 3(5 + 2x) + 4(3x + 2) = 104 (5 * 3 + 2x * 3) + 4(3x + 2) = 104 (15 + 6x) + 4(3x + 2) = 104 Reorder the terms: 15 + 6x + 4(2 + 3x) = 104 15 + 6x + (2 * 4 + 3x * 4) = 104 15 + 6x + (8 + 12x) = 104 Reorder the terms: 15 + 8 + 6x + 12x = 104 Combine like terms: 15 + 8 = 23 23 + 6x + 12x = 104 Combine like terms: 6x + 12x = 18x 23 + 18x = 104 Solving 23 + 18x = 104 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 18x = 104 + -23 Combine like terms: 23 + -23 = 0 0 + 18x = 104 + -23 18x = 104 + -23 Combine like terms: 104 + -23 = 81 18x = 81 Divide each side by '18'. x = 4.5 Simplifying x = 4.5
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