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Simplifying 5.50x + 19 = 6.75x + 9 Reorder the terms: 19 + 5.50x = 6.75x + 9 Reorder the terms: 19 + 5.50x = 9 + 6.75x Solving 19 + 5.50x = 9 + 6.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.75x' to each side of the equation. 19 + 5.50x + -6.75x = 9 + 6.75x + -6.75x Combine like terms: 5.50x + -6.75x = -1.25x 19 + -1.25x = 9 + 6.75x + -6.75x Combine like terms: 6.75x + -6.75x = 0.00 19 + -1.25x = 9 + 0.00 19 + -1.25x = 9 Add '-19' to each side of the equation. 19 + -19 + -1.25x = 9 + -19 Combine like terms: 19 + -19 = 0 0 + -1.25x = 9 + -19 -1.25x = 9 + -19 Combine like terms: 9 + -19 = -10 -1.25x = -10 Divide each side by '-1.25'. x = 8 Simplifying x = 8
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