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Simplifying 100x + 0.30 = 80x + 0.50 Reorder the terms: 0.30 + 100x = 80x + 0.50 Reorder the terms: 0.30 + 100x = 0.50 + 80x Solving 0.30 + 100x = 0.50 + 80x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80x' to each side of the equation. 0.30 + 100x + -80x = 0.50 + 80x + -80x Combine like terms: 100x + -80x = 20x 0.30 + 20x = 0.50 + 80x + -80x Combine like terms: 80x + -80x = 0 0.30 + 20x = 0.50 + 0 0.30 + 20x = 0.50 Add '-0.30' to each side of the equation. 0.30 + -0.30 + 20x = 0.50 + -0.30 Combine like terms: 0.30 + -0.30 = 0.00 0.00 + 20x = 0.50 + -0.30 20x = 0.50 + -0.30 Combine like terms: 0.50 + -0.30 = 0.2 20x = 0.2 Divide each side by '20'. x = 0.01 Simplifying x = 0.01
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