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Simplifying 2(x + 3) + 4(x + 2) = 44 Reorder the terms: 2(3 + x) + 4(x + 2) = 44 (3 * 2 + x * 2) + 4(x + 2) = 44 (6 + 2x) + 4(x + 2) = 44 Reorder the terms: 6 + 2x + 4(2 + x) = 44 6 + 2x + (2 * 4 + x * 4) = 44 6 + 2x + (8 + 4x) = 44 Reorder the terms: 6 + 8 + 2x + 4x = 44 Combine like terms: 6 + 8 = 14 14 + 2x + 4x = 44 Combine like terms: 2x + 4x = 6x 14 + 6x = 44 Solving 14 + 6x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6x = 44 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 44 + -14 6x = 44 + -14 Combine like terms: 44 + -14 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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