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Simplifying 6.50x + 10.50(600 + -1x) = 5584 6.50x + (600 * 10.50 + -1x * 10.50) = 5584 6.50x + (6300 + -10.5x) = 5584 Reorder the terms: 6300 + 6.50x + -10.5x = 5584 Combine like terms: 6.50x + -10.5x = -4x 6300 + -4x = 5584 Solving 6300 + -4x = 5584 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6300' to each side of the equation. 6300 + -6300 + -4x = 5584 + -6300 Combine like terms: 6300 + -6300 = 0 0 + -4x = 5584 + -6300 -4x = 5584 + -6300 Combine like terms: 5584 + -6300 = -716 -4x = -716 Divide each side by '-4'. x = 179 Simplifying x = 179
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