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Simplifying 20x + 0.50 = 100x + 0.25 Reorder the terms: 0.50 + 20x = 100x + 0.25 Reorder the terms: 0.50 + 20x = 0.25 + 100x Solving 0.50 + 20x = 0.25 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. 0.50 + 20x + -100x = 0.25 + 100x + -100x Combine like terms: 20x + -100x = -80x 0.50 + -80x = 0.25 + 100x + -100x Combine like terms: 100x + -100x = 0 0.50 + -80x = 0.25 + 0 0.50 + -80x = 0.25 Add '-0.50' to each side of the equation. 0.50 + -0.50 + -80x = 0.25 + -0.50 Combine like terms: 0.50 + -0.50 = 0.00 0.00 + -80x = 0.25 + -0.50 -80x = 0.25 + -0.50 Combine like terms: 0.25 + -0.50 = -0.25 -80x = -0.25 Divide each side by '-80'. x = 0.003125 Simplifying x = 0.003125
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