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Simplifying 4.50x + 19 = 5.75x + 14 Reorder the terms: 19 + 4.50x = 5.75x + 14 Reorder the terms: 19 + 4.50x = 14 + 5.75x Solving 19 + 4.50x = 14 + 5.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.75x' to each side of the equation. 19 + 4.50x + -5.75x = 14 + 5.75x + -5.75x Combine like terms: 4.50x + -5.75x = -1.25x 19 + -1.25x = 14 + 5.75x + -5.75x Combine like terms: 5.75x + -5.75x = 0.00 19 + -1.25x = 14 + 0.00 19 + -1.25x = 14 Add '-19' to each side of the equation. 19 + -19 + -1.25x = 14 + -19 Combine like terms: 19 + -19 = 0 0 + -1.25x = 14 + -19 -1.25x = 14 + -19 Combine like terms: 14 + -19 = -5 -1.25x = -5 Divide each side by '-1.25'. x = 4 Simplifying x = 4
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