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Simplifying 0.9x + -0.2 = 0.8x + 0.6 Reorder the terms: -0.2 + 0.9x = 0.8x + 0.6 Reorder the terms: -0.2 + 0.9x = 0.6 + 0.8x Solving -0.2 + 0.9x = 0.6 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -0.2 + 0.9x + -0.8x = 0.6 + 0.8x + -0.8x Combine like terms: 0.9x + -0.8x = 0.1x -0.2 + 0.1x = 0.6 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -0.2 + 0.1x = 0.6 + 0.0 -0.2 + 0.1x = 0.6 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.1x = 0.6 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.1x = 0.6 + 0.2 0.1x = 0.6 + 0.2 Combine like terms: 0.6 + 0.2 = 0.8 0.1x = 0.8 Divide each side by '0.1'. x = 8 Simplifying x = 8
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