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Simplifying 2(3x + 1) + 3(4x + 2) = 44 Reorder the terms: 2(1 + 3x) + 3(4x + 2) = 44 (1 * 2 + 3x * 2) + 3(4x + 2) = 44 (2 + 6x) + 3(4x + 2) = 44 Reorder the terms: 2 + 6x + 3(2 + 4x) = 44 2 + 6x + (2 * 3 + 4x * 3) = 44 2 + 6x + (6 + 12x) = 44 Reorder the terms: 2 + 6 + 6x + 12x = 44 Combine like terms: 2 + 6 = 8 8 + 6x + 12x = 44 Combine like terms: 6x + 12x = 18x 8 + 18x = 44 Solving 8 + 18x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 18x = 44 + -8 Combine like terms: 8 + -8 = 0 0 + 18x = 44 + -8 18x = 44 + -8 Combine like terms: 44 + -8 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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