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Simplifying 200x + -0.53 = 400x + 0.77 Reorder the terms: -0.53 + 200x = 400x + 0.77 Reorder the terms: -0.53 + 200x = 0.77 + 400x Solving -0.53 + 200x = 0.77 + 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. -0.53 + 200x + -400x = 0.77 + 400x + -400x Combine like terms: 200x + -400x = -200x -0.53 + -200x = 0.77 + 400x + -400x Combine like terms: 400x + -400x = 0 -0.53 + -200x = 0.77 + 0 -0.53 + -200x = 0.77 Add '0.53' to each side of the equation. -0.53 + 0.53 + -200x = 0.77 + 0.53 Combine like terms: -0.53 + 0.53 = 0.00 0.00 + -200x = 0.77 + 0.53 -200x = 0.77 + 0.53 Combine like terms: 0.77 + 0.53 = 1.3 -200x = 1.3 Divide each side by '-200'. x = -0.0065 Simplifying x = -0.0065
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