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Simplifying 500x + -0.78 = 300x + 0.98 Reorder the terms: -0.78 + 500x = 300x + 0.98 Reorder the terms: -0.78 + 500x = 0.98 + 300x Solving -0.78 + 500x = 0.98 + 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. -0.78 + 500x + -300x = 0.98 + 300x + -300x Combine like terms: 500x + -300x = 200x -0.78 + 200x = 0.98 + 300x + -300x Combine like terms: 300x + -300x = 0 -0.78 + 200x = 0.98 + 0 -0.78 + 200x = 0.98 Add '0.78' to each side of the equation. -0.78 + 0.78 + 200x = 0.98 + 0.78 Combine like terms: -0.78 + 0.78 = 0.00 0.00 + 200x = 0.98 + 0.78 200x = 0.98 + 0.78 Combine like terms: 0.98 + 0.78 = 1.76 200x = 1.76 Divide each side by '200'. x = 0.0088 Simplifying x = 0.0088
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