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Simplifying 45 + 15 + 0.75x = 40 + 0.85x Combine like terms: 45 + 15 = 60 60 + 0.75x = 40 + 0.85x Solving 60 + 0.75x = 40 + 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. 60 + 0.75x + -0.85x = 40 + 0.85x + -0.85x Combine like terms: 0.75x + -0.85x = -0.1x 60 + -0.1x = 40 + 0.85x + -0.85x Combine like terms: 0.85x + -0.85x = 0.00 60 + -0.1x = 40 + 0.00 60 + -0.1x = 40 Add '-60' to each side of the equation. 60 + -60 + -0.1x = 40 + -60 Combine like terms: 60 + -60 = 0 0 + -0.1x = 40 + -60 -0.1x = 40 + -60 Combine like terms: 40 + -60 = -20 -0.1x = -20 Divide each side by '-0.1'. x = 200 Simplifying x = 200
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