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Simplifying 0.2x + -0.9 = 10x + -0.8x Reorder the terms: -0.9 + 0.2x = 10x + -0.8x Combine like terms: 10x + -0.8x = 9.2x -0.9 + 0.2x = 9.2x Solving -0.9 + 0.2x = 9.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.2x' to each side of the equation. -0.9 + 0.2x + -9.2x = 9.2x + -9.2x Combine like terms: 0.2x + -9.2x = -9x -0.9 + -9x = 9.2x + -9.2x Combine like terms: 9.2x + -9.2x = 0.0 -0.9 + -9x = 0.0 Add '0.9' to each side of the equation. -0.9 + 0.9 + -9x = 0.0 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + -9x = 0.0 + 0.9 -9x = 0.0 + 0.9 Combine like terms: 0.0 + 0.9 = 0.9 -9x = 0.9 Divide each side by '-9'. x = -0.1 Simplifying x = -0.1
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