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Simplifying 35 + 20 + 0.75x = 45 + 0.85x Combine like terms: 35 + 20 = 55 55 + 0.75x = 45 + 0.85x Solving 55 + 0.75x = 45 + 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. 55 + 0.75x + -0.85x = 45 + 0.85x + -0.85x Combine like terms: 0.75x + -0.85x = -0.1x 55 + -0.1x = 45 + 0.85x + -0.85x Combine like terms: 0.85x + -0.85x = 0.00 55 + -0.1x = 45 + 0.00 55 + -0.1x = 45 Add '-55' to each side of the equation. 55 + -55 + -0.1x = 45 + -55 Combine like terms: 55 + -55 = 0 0 + -0.1x = 45 + -55 -0.1x = 45 + -55 Combine like terms: 45 + -55 = -10 -0.1x = -10 Divide each side by '-0.1'. x = 100 Simplifying x = 100
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