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Simplifying 40 + 15 + 0.45x = 35 + 0.55x Combine like terms: 40 + 15 = 55 55 + 0.45x = 35 + 0.55x Solving 55 + 0.45x = 35 + 0.55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.55x' to each side of the equation. 55 + 0.45x + -0.55x = 35 + 0.55x + -0.55x Combine like terms: 0.45x + -0.55x = -0.1x 55 + -0.1x = 35 + 0.55x + -0.55x Combine like terms: 0.55x + -0.55x = 0.00 55 + -0.1x = 35 + 0.00 55 + -0.1x = 35 Add '-55' to each side of the equation. 55 + -55 + -0.1x = 35 + -55 Combine like terms: 55 + -55 = 0 0 + -0.1x = 35 + -55 -0.1x = 35 + -55 Combine like terms: 35 + -55 = -20 -0.1x = -20 Divide each side by '-0.1'. x = 200 Simplifying x = 200
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