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Simplifying 1.25x + 30 = 2.50x + 10 Reorder the terms: 30 + 1.25x = 2.50x + 10 Reorder the terms: 30 + 1.25x = 10 + 2.50x Solving 30 + 1.25x = 10 + 2.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.50x' to each side of the equation. 30 + 1.25x + -2.50x = 10 + 2.50x + -2.50x Combine like terms: 1.25x + -2.50x = -1.25x 30 + -1.25x = 10 + 2.50x + -2.50x Combine like terms: 2.50x + -2.50x = 0.00 30 + -1.25x = 10 + 0.00 30 + -1.25x = 10 Add '-30' to each side of the equation. 30 + -30 + -1.25x = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -1.25x = 10 + -30 -1.25x = 10 + -30 Combine like terms: 10 + -30 = -20 -1.25x = -20 Divide each side by '-1.25'. x = 16 Simplifying x = 16
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