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Simplifying 0.2x + 0.9 = 0.8x + -0.3 Reorder the terms: 0.9 + 0.2x = 0.8x + -0.3 Reorder the terms: 0.9 + 0.2x = -0.3 + 0.8x Solving 0.9 + 0.2x = -0.3 + 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. 0.9 + 0.2x + -0.8x = -0.3 + 0.8x + -0.8x Combine like terms: 0.2x + -0.8x = -0.6x 0.9 + -0.6x = -0.3 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 0.9 + -0.6x = -0.3 + 0.0 0.9 + -0.6x = -0.3 Add '-0.9' to each side of the equation. 0.9 + -0.9 + -0.6x = -0.3 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -0.6x = -0.3 + -0.9 -0.6x = -0.3 + -0.9 Combine like terms: -0.3 + -0.9 = -1.2 -0.6x = -1.2 Divide each side by '-0.6'. x = 2 Simplifying x = 2
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