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Simplifying 200x + -0.78 = 400x + 0.34 Reorder the terms: -0.78 + 200x = 400x + 0.34 Reorder the terms: -0.78 + 200x = 0.34 + 400x Solving -0.78 + 200x = 0.34 + 400x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-400x' to each side of the equation. -0.78 + 200x + -400x = 0.34 + 400x + -400x Combine like terms: 200x + -400x = -200x -0.78 + -200x = 0.34 + 400x + -400x Combine like terms: 400x + -400x = 0 -0.78 + -200x = 0.34 + 0 -0.78 + -200x = 0.34 Add '0.78' to each side of the equation. -0.78 + 0.78 + -200x = 0.34 + 0.78 Combine like terms: -0.78 + 0.78 = 0.00 0.00 + -200x = 0.34 + 0.78 -200x = 0.34 + 0.78 Combine like terms: 0.34 + 0.78 = 1.12 -200x = 1.12 Divide each side by '-200'. x = -0.0056 Simplifying x = -0.0056
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