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Simplifying 3(x + 1) + 5(x + 5) = 44 Reorder the terms: 3(1 + x) + 5(x + 5) = 44 (1 * 3 + x * 3) + 5(x + 5) = 44 (3 + 3x) + 5(x + 5) = 44 Reorder the terms: 3 + 3x + 5(5 + x) = 44 3 + 3x + (5 * 5 + x * 5) = 44 3 + 3x + (25 + 5x) = 44 Reorder the terms: 3 + 25 + 3x + 5x = 44 Combine like terms: 3 + 25 = 28 28 + 3x + 5x = 44 Combine like terms: 3x + 5x = 8x 28 + 8x = 44 Solving 28 + 8x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 8x = 44 + -28 Combine like terms: 28 + -28 = 0 0 + 8x = 44 + -28 8x = 44 + -28 Combine like terms: 44 + -28 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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