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Simplifying 39.99x + 0.45 = 49.99x + 0.40 Reorder the terms: 0.45 + 39.99x = 49.99x + 0.40 Reorder the terms: 0.45 + 39.99x = 0.40 + 49.99x Solving 0.45 + 39.99x = 0.40 + 49.99x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49.99x' to each side of the equation. 0.45 + 39.99x + -49.99x = 0.40 + 49.99x + -49.99x Combine like terms: 39.99x + -49.99x = -10x 0.45 + -10x = 0.40 + 49.99x + -49.99x Combine like terms: 49.99x + -49.99x = 0.00 0.45 + -10x = 0.40 + 0.00 0.45 + -10x = 0.40 Add '-0.45' to each side of the equation. 0.45 + -0.45 + -10x = 0.40 + -0.45 Combine like terms: 0.45 + -0.45 = 0.00 0.00 + -10x = 0.40 + -0.45 -10x = 0.40 + -0.45 Combine like terms: 0.40 + -0.45 = -0.05 -10x = -0.05 Divide each side by '-10'. x = 0.005 Simplifying x = 0.005
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