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Simplifying 0.5x + -120 = 35x + 60 Reorder the terms: -120 + 0.5x = 35x + 60 Reorder the terms: -120 + 0.5x = 60 + 35x Solving -120 + 0.5x = 60 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -120 + 0.5x + -35x = 60 + 35x + -35x Combine like terms: 0.5x + -35x = -34.5x -120 + -34.5x = 60 + 35x + -35x Combine like terms: 35x + -35x = 0 -120 + -34.5x = 60 + 0 -120 + -34.5x = 60 Add '120' to each side of the equation. -120 + 120 + -34.5x = 60 + 120 Combine like terms: -120 + 120 = 0 0 + -34.5x = 60 + 120 -34.5x = 60 + 120 Combine like terms: 60 + 120 = 180 -34.5x = 180 Divide each side by '-34.5'. x = -5.217391304 Simplifying x = -5.217391304
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