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Simplifying 49.99 + 0.40x = 54.99 + 0.35x Solving 49.99 + 0.40x = 54.99 + 0.35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.35x' to each side of the equation. 49.99 + 0.40x + -0.35x = 54.99 + 0.35x + -0.35x Combine like terms: 0.40x + -0.35x = 0.05x 49.99 + 0.05x = 54.99 + 0.35x + -0.35x Combine like terms: 0.35x + -0.35x = 0.00 49.99 + 0.05x = 54.99 + 0.00 49.99 + 0.05x = 54.99 Add '-49.99' to each side of the equation. 49.99 + -49.99 + 0.05x = 54.99 + -49.99 Combine like terms: 49.99 + -49.99 = 0.00 0.00 + 0.05x = 54.99 + -49.99 0.05x = 54.99 + -49.99 Combine like terms: 54.99 + -49.99 = 5 0.05x = 5 Divide each side by '0.05'. x = 100 Simplifying x = 100
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