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Simplifying 1.25x + 75 = 0.85x + 100 Reorder the terms: 75 + 1.25x = 0.85x + 100 Reorder the terms: 75 + 1.25x = 100 + 0.85x Solving 75 + 1.25x = 100 + 0.85x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.85x' to each side of the equation. 75 + 1.25x + -0.85x = 100 + 0.85x + -0.85x Combine like terms: 1.25x + -0.85x = 0.4x 75 + 0.4x = 100 + 0.85x + -0.85x Combine like terms: 0.85x + -0.85x = 0.00 75 + 0.4x = 100 + 0.00 75 + 0.4x = 100 Add '-75' to each side of the equation. 75 + -75 + 0.4x = 100 + -75 Combine like terms: 75 + -75 = 0 0 + 0.4x = 100 + -75 0.4x = 100 + -75 Combine like terms: 100 + -75 = 25 0.4x = 25 Divide each side by '0.4'. x = 62.5 Simplifying x = 62.5
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