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Simplifying 0.75x + 75 = 0.85x + 55 Reorder the terms: 75 + 0.75x = 0.85x + 55 Reorder the terms: 75 + 0.75x = 55 + 0.85x Solving 75 + 0.75x = 55 + 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 + 0.75x + -0.85x = 55 + 0.85x + -0.85x Combine like terms: 0.75x + -0.85x = -0.1x 75 + -0.1x = 55 + 0.85x + -0.85x Combine like terms: 0.85x + -0.85x = 0.00 75 + -0.1x = 55 + 0.00 75 + -0.1x = 55 Add '-75' to each side of the equation. 75 + -75 + -0.1x = 55 + -75 Combine like terms: 75 + -75 = 0 0 + -0.1x = 55 + -75 -0.1x = 55 + -75 Combine like terms: 55 + -75 = -20 -0.1x = -20 Divide each side by '-0.1'. x = 200 Simplifying x = 200
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