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Simplifying 38.50 = 3 + 1.50x + 10 + 2.75x Reorder the terms: 38.50 = 3 + 10 + 1.50x + 2.75x Combine like terms: 3 + 10 = 13 38.50 = 13 + 1.50x + 2.75x Combine like terms: 1.50x + 2.75x = 4.25x 38.50 = 13 + 4.25x Solving 38.50 = 13 + 4.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.25x' to each side of the equation. 38.50 + -4.25x = 13 + 4.25x + -4.25x Combine like terms: 4.25x + -4.25x = 0.00 38.50 + -4.25x = 13 + 0.00 38.50 + -4.25x = 13 Add '-38.50' to each side of the equation. 38.50 + -38.50 + -4.25x = 13 + -38.50 Combine like terms: 38.50 + -38.50 = 0.00 0.00 + -4.25x = 13 + -38.50 -4.25x = 13 + -38.50 Combine like terms: 13 + -38.50 = -25.5 -4.25x = -25.5 Divide each side by '-4.25'. x = 6 Simplifying x = 6
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