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Simplifying 800x + -0.82 = 300x + 0.78 Reorder the terms: -0.82 + 800x = 300x + 0.78 Reorder the terms: -0.82 + 800x = 0.78 + 300x Solving -0.82 + 800x = 0.78 + 300x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-300x' to each side of the equation. -0.82 + 800x + -300x = 0.78 + 300x + -300x Combine like terms: 800x + -300x = 500x -0.82 + 500x = 0.78 + 300x + -300x Combine like terms: 300x + -300x = 0 -0.82 + 500x = 0.78 + 0 -0.82 + 500x = 0.78 Add '0.82' to each side of the equation. -0.82 + 0.82 + 500x = 0.78 + 0.82 Combine like terms: -0.82 + 0.82 = 0.00 0.00 + 500x = 0.78 + 0.82 500x = 0.78 + 0.82 Combine like terms: 0.78 + 0.82 = 1.6 500x = 1.6 Divide each side by '500'. x = 0.0032 Simplifying x = 0.0032
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