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Simplifying x + 2(x + 1) + 3(x + 1) + 4(x + 1) + 5(x + 1) = 44 Reorder the terms: x + 2(1 + x) + 3(x + 1) + 4(x + 1) + 5(x + 1) = 44 x + (1 * 2 + x * 2) + 3(x + 1) + 4(x + 1) + 5(x + 1) = 44 x + (2 + 2x) + 3(x + 1) + 4(x + 1) + 5(x + 1) = 44 Reorder the terms: x + 2 + 2x + 3(1 + x) + 4(x + 1) + 5(x + 1) = 44 x + 2 + 2x + (1 * 3 + x * 3) + 4(x + 1) + 5(x + 1) = 44 x + 2 + 2x + (3 + 3x) + 4(x + 1) + 5(x + 1) = 44 Reorder the terms: x + 2 + 2x + 3 + 3x + 4(1 + x) + 5(x + 1) = 44 x + 2 + 2x + 3 + 3x + (1 * 4 + x * 4) + 5(x + 1) = 44 x + 2 + 2x + 3 + 3x + (4 + 4x) + 5(x + 1) = 44 Reorder the terms: x + 2 + 2x + 3 + 3x + 4 + 4x + 5(1 + x) = 44 x + 2 + 2x + 3 + 3x + 4 + 4x + (1 * 5 + x * 5) = 44 x + 2 + 2x + 3 + 3x + 4 + 4x + (5 + 5x) = 44 Reorder the terms: 2 + 3 + 4 + 5 + x + 2x + 3x + 4x + 5x = 44 Combine like terms: 2 + 3 = 5 5 + 4 + 5 + x + 2x + 3x + 4x + 5x = 44 Combine like terms: 5 + 4 = 9 9 + 5 + x + 2x + 3x + 4x + 5x = 44 Combine like terms: 9 + 5 = 14 14 + x + 2x + 3x + 4x + 5x = 44 Combine like terms: x + 2x = 3x 14 + 3x + 3x + 4x + 5x = 44 Combine like terms: 3x + 3x = 6x 14 + 6x + 4x + 5x = 44 Combine like terms: 6x + 4x = 10x 14 + 10x + 5x = 44 Combine like terms: 10x + 5x = 15x 14 + 15x = 44 Solving 14 + 15x = 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 + 15x = 44 + -14 Combine like terms: 14 + -14 = 0 0 + 15x = 44 + -14 15x = 44 + -14 Combine like terms: 44 + -14 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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