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Simplifying 0.45x + 39.99 = 0.40x + 44.99 Reorder the terms: 39.99 + 0.45x = 0.40x + 44.99 Reorder the terms: 39.99 + 0.45x = 44.99 + 0.40x Solving 39.99 + 0.45x = 44.99 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 39.99 + 0.45x + -0.40x = 44.99 + 0.40x + -0.40x Combine like terms: 0.45x + -0.40x = 0.05x 39.99 + 0.05x = 44.99 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 39.99 + 0.05x = 44.99 + 0.00 39.99 + 0.05x = 44.99 Add '-39.99' to each side of the equation. 39.99 + -39.99 + 0.05x = 44.99 + -39.99 Combine like terms: 39.99 + -39.99 = 0.00 0.00 + 0.05x = 44.99 + -39.99 0.05x = 44.99 + -39.99 Combine like terms: 44.99 + -39.99 = 5 0.05x = 5 Divide each side by '0.05'. x = 100 Simplifying x = 100
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