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Simplifying 300x + -0.52 = 500x + 0.02 Reorder the terms: -0.52 + 300x = 500x + 0.02 Reorder the terms: -0.52 + 300x = 0.02 + 500x Solving -0.52 + 300x = 0.02 + 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. -0.52 + 300x + -500x = 0.02 + 500x + -500x Combine like terms: 300x + -500x = -200x -0.52 + -200x = 0.02 + 500x + -500x Combine like terms: 500x + -500x = 0 -0.52 + -200x = 0.02 + 0 -0.52 + -200x = 0.02 Add '0.52' to each side of the equation. -0.52 + 0.52 + -200x = 0.02 + 0.52 Combine like terms: -0.52 + 0.52 = 0.00 0.00 + -200x = 0.02 + 0.52 -200x = 0.02 + 0.52 Combine like terms: 0.02 + 0.52 = 0.54 -200x = 0.54 Divide each side by '-200'. x = -0.0027 Simplifying x = -0.0027
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