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Simplifying 12.50x + 35 = 15.00x + 22.50 Reorder the terms: 35 + 12.50x = 15.00x + 22.50 Reorder the terms: 35 + 12.50x = 22.50 + 15.00x Solving 35 + 12.50x = 22.50 + 15.00x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15.00x' to each side of the equation. 35 + 12.50x + -15.00x = 22.50 + 15.00x + -15.00x Combine like terms: 12.50x + -15.00x = -2.5x 35 + -2.5x = 22.50 + 15.00x + -15.00x Combine like terms: 15.00x + -15.00x = 0.00 35 + -2.5x = 22.50 + 0.00 35 + -2.5x = 22.50 Add '-35' to each side of the equation. 35 + -35 + -2.5x = 22.50 + -35 Combine like terms: 35 + -35 = 0 0 + -2.5x = 22.50 + -35 -2.5x = 22.50 + -35 Combine like terms: 22.50 + -35 = -12.5 -2.5x = -12.5 Divide each side by '-2.5'. x = 5 Simplifying x = 5
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