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Simplifying x + (x + 1) + (x + 4) + (x + 6) + (x + 5) + (x + 8) = 150 Reorder the terms: x + (1 + x) + (x + 4) + (x + 6) + (x + 5) + (x + 8) = 150 Remove parenthesis around (1 + x) x + 1 + x + (x + 4) + (x + 6) + (x + 5) + (x + 8) = 150 Reorder the terms: x + 1 + x + (4 + x) + (x + 6) + (x + 5) + (x + 8) = 150 Remove parenthesis around (4 + x) x + 1 + x + 4 + x + (x + 6) + (x + 5) + (x + 8) = 150 Reorder the terms: x + 1 + x + 4 + x + (6 + x) + (x + 5) + (x + 8) = 150 Remove parenthesis around (6 + x) x + 1 + x + 4 + x + 6 + x + (x + 5) + (x + 8) = 150 Reorder the terms: x + 1 + x + 4 + x + 6 + x + (5 + x) + (x + 8) = 150 Remove parenthesis around (5 + x) x + 1 + x + 4 + x + 6 + x + 5 + x + (x + 8) = 150 Reorder the terms: x + 1 + x + 4 + x + 6 + x + 5 + x + (8 + x) = 150 Remove parenthesis around (8 + x) x + 1 + x + 4 + x + 6 + x + 5 + x + 8 + x = 150 Reorder the terms: 1 + 4 + 6 + 5 + 8 + x + x + x + x + x + x = 150 Combine like terms: 1 + 4 = 5 5 + 6 + 5 + 8 + x + x + x + x + x + x = 150 Combine like terms: 5 + 6 = 11 11 + 5 + 8 + x + x + x + x + x + x = 150 Combine like terms: 11 + 5 = 16 16 + 8 + x + x + x + x + x + x = 150 Combine like terms: 16 + 8 = 24 24 + x + x + x + x + x + x = 150 Combine like terms: x + x = 2x 24 + 2x + x + x + x + x = 150 Combine like terms: 2x + x = 3x 24 + 3x + x + x + x = 150 Combine like terms: 3x + x = 4x 24 + 4x + x + x = 150 Combine like terms: 4x + x = 5x 24 + 5x + x = 150 Combine like terms: 5x + x = 6x 24 + 6x = 150 Solving 24 + 6x = 150 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 6x = 150 + -24 Combine like terms: 24 + -24 = 0 0 + 6x = 150 + -24 6x = 150 + -24 Combine like terms: 150 + -24 = 126 6x = 126 Divide each side by '6'. x = 21 Simplifying x = 21
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