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Simplifying 300x + -0.32 = 500x + 0.82 Reorder the terms: -0.32 + 300x = 500x + 0.82 Reorder the terms: -0.32 + 300x = 0.82 + 500x Solving -0.32 + 300x = 0.82 + 500x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-500x' to each side of the equation. -0.32 + 300x + -500x = 0.82 + 500x + -500x Combine like terms: 300x + -500x = -200x -0.32 + -200x = 0.82 + 500x + -500x Combine like terms: 500x + -500x = 0 -0.32 + -200x = 0.82 + 0 -0.32 + -200x = 0.82 Add '0.32' to each side of the equation. -0.32 + 0.32 + -200x = 0.82 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + -200x = 0.82 + 0.32 -200x = 0.82 + 0.32 Combine like terms: 0.82 + 0.32 = 1.14 -200x = 1.14 Divide each side by '-200'. x = -0.0057 Simplifying x = -0.0057
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