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Simplifying 0.7x + 0.8 = 0.2 + -0.1x Reorder the terms: 0.8 + 0.7x = 0.2 + -0.1x Solving 0.8 + 0.7x = 0.2 + -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. 0.8 + 0.7x + 0.1x = 0.2 + -0.1x + 0.1x Combine like terms: 0.7x + 0.1x = 0.8x 0.8 + 0.8x = 0.2 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 0.8 + 0.8x = 0.2 + 0.0 0.8 + 0.8x = 0.2 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.8x = 0.2 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.8x = 0.2 + -0.8 0.8x = 0.2 + -0.8 Combine like terms: 0.2 + -0.8 = -0.6 0.8x = -0.6 Divide each side by '0.8'. x = -0.75 Simplifying x = -0.75
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