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Simplifying 9x + 6(200 + -1x) = 1566 9x + (200 * 6 + -1x * 6) = 1566 9x + (1200 + -6x) = 1566 Reorder the terms: 1200 + 9x + -6x = 1566 Combine like terms: 9x + -6x = 3x 1200 + 3x = 1566 Solving 1200 + 3x = 1566 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1200' to each side of the equation. 1200 + -1200 + 3x = 1566 + -1200 Combine like terms: 1200 + -1200 = 0 0 + 3x = 1566 + -1200 3x = 1566 + -1200 Combine like terms: 1566 + -1200 = 366 3x = 366 Divide each side by '3'. x = 122 Simplifying x = 122
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