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Simplifying 5.50x + 50 = 7.75x + 18.50 Reorder the terms: 50 + 5.50x = 7.75x + 18.50 Reorder the terms: 50 + 5.50x = 18.50 + 7.75x Solving 50 + 5.50x = 18.50 + 7.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.75x' to each side of the equation. 50 + 5.50x + -7.75x = 18.50 + 7.75x + -7.75x Combine like terms: 5.50x + -7.75x = -2.25x 50 + -2.25x = 18.50 + 7.75x + -7.75x Combine like terms: 7.75x + -7.75x = 0.00 50 + -2.25x = 18.50 + 0.00 50 + -2.25x = 18.50 Add '-50' to each side of the equation. 50 + -50 + -2.25x = 18.50 + -50 Combine like terms: 50 + -50 = 0 0 + -2.25x = 18.50 + -50 -2.25x = 18.50 + -50 Combine like terms: 18.50 + -50 = -31.5 -2.25x = -31.5 Divide each side by '-2.25'. x = 14 Simplifying x = 14
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