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Simplifying 3(x + 1) + 8(x + 1) = 44 Reorder the terms: 3(1 + x) + 8(x + 1) = 44 (1 * 3 + x * 3) + 8(x + 1) = 44 (3 + 3x) + 8(x + 1) = 44 Reorder the terms: 3 + 3x + 8(1 + x) = 44 3 + 3x + (1 * 8 + x * 8) = 44 3 + 3x + (8 + 8x) = 44 Reorder the terms: 3 + 8 + 3x + 8x = 44 Combine like terms: 3 + 8 = 11 11 + 3x + 8x = 44 Combine like terms: 3x + 8x = 11x 11 + 11x = 44 Solving 11 + 11x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 11x = 44 + -11 Combine like terms: 11 + -11 = 0 0 + 11x = 44 + -11 11x = 44 + -11 Combine like terms: 44 + -11 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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