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Simplifying 0.5 + 0.1x = 0.8x + -0.9 Reorder the terms: 0.5 + 0.1x = -0.9 + 0.8x Solving 0.5 + 0.1x = -0.9 + 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. 0.5 + 0.1x + -0.8x = -0.9 + 0.8x + -0.8x Combine like terms: 0.1x + -0.8x = -0.7x 0.5 + -0.7x = -0.9 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 0.5 + -0.7x = -0.9 + 0.0 0.5 + -0.7x = -0.9 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.7x = -0.9 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.7x = -0.9 + -0.5 -0.7x = -0.9 + -0.5 Combine like terms: -0.9 + -0.5 = -1.4 -0.7x = -1.4 Divide each side by '-0.7'. x = 2 Simplifying x = 2
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