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Simplifying x + 1 + 2(x + 2) + 3(x + 3) = 50 Reorder the terms: x + 1 + 2(2 + x) + 3(x + 3) = 50 x + 1 + (2 * 2 + x * 2) + 3(x + 3) = 50 x + 1 + (4 + 2x) + 3(x + 3) = 50 Reorder the terms: x + 1 + 4 + 2x + 3(3 + x) = 50 x + 1 + 4 + 2x + (3 * 3 + x * 3) = 50 x + 1 + 4 + 2x + (9 + 3x) = 50 Reorder the terms: 1 + 4 + 9 + x + 2x + 3x = 50 Combine like terms: 1 + 4 = 5 5 + 9 + x + 2x + 3x = 50 Combine like terms: 5 + 9 = 14 14 + x + 2x + 3x = 50 Combine like terms: x + 2x = 3x 14 + 3x + 3x = 50 Combine like terms: 3x + 3x = 6x 14 + 6x = 50 Solving 14 + 6x = 50 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 = 50 + -14 Combine like terms: 14 + -14 = 0 0 + 6x = 50 + -14 6x = 50 + -14 Combine like terms: 50 + -14 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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