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Simplifying 0.4x + -0.5x = 0.75x + 2 Combine like terms: 0.4x + -0.5x = -0.1x -0.1x = 0.75x + 2 Reorder the terms: -0.1x = 2 + 0.75x Solving -0.1x = 2 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. -0.1x + -0.75x = 2 + 0.75x + -0.75x Combine like terms: -0.1x + -0.75x = -0.85x -0.85x = 2 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -0.85x = 2 + 0.00 -0.85x = 2 Divide each side by '-0.85'. x = -2.352941176 Simplifying x = -2.352941176
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