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Simplifying 0.3x + -600 = 200 + -0.1x Reorder the terms: -600 + 0.3x = 200 + -0.1x Solving -600 + 0.3x = 200 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. -600 + 0.3x + 0.1x = 200 + -0.1x + 0.1x Combine like terms: 0.3x + 0.1x = 0.4x -600 + 0.4x = 200 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 -600 + 0.4x = 200 + 0.0 -600 + 0.4x = 200 Add '600' to each side of the equation. -600 + 600 + 0.4x = 200 + 600 Combine like terms: -600 + 600 = 0 0 + 0.4x = 200 + 600 0.4x = 200 + 600 Combine like terms: 200 + 600 = 800 0.4x = 800 Divide each side by '0.4'. x = 2000 Simplifying x = 2000
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