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Simplifying 10.50x + 142.50 = 20.00x Reorder the terms: 142.50 + 10.50x = 20.00x Solving 142.50 + 10.50x = 20.00x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20.00x' to each side of the equation. 142.50 + 10.50x + -20.00x = 20.00x + -20.00x Combine like terms: 10.50x + -20.00x = -9.5x 142.50 + -9.5x = 20.00x + -20.00x Combine like terms: 20.00x + -20.00x = 0.00 142.50 + -9.5x = 0.00 Add '-142.50' to each side of the equation. 142.50 + -142.50 + -9.5x = 0.00 + -142.50 Combine like terms: 142.50 + -142.50 = 0.00 0.00 + -9.5x = 0.00 + -142.50 -9.5x = 0.00 + -142.50 Combine like terms: 0.00 + -142.50 = -142.5 -9.5x = -142.5 Divide each side by '-9.5'. x = 15 Simplifying x = 15
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