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Simplifying 0.8x + -0.3 = 0.7x + 0.2 Reorder the terms: -0.3 + 0.8x = 0.7x + 0.2 Reorder the terms: -0.3 + 0.8x = 0.2 + 0.7x Solving -0.3 + 0.8x = 0.2 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. -0.3 + 0.8x + -0.7x = 0.2 + 0.7x + -0.7x Combine like terms: 0.8x + -0.7x = 0.1x -0.3 + 0.1x = 0.2 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 -0.3 + 0.1x = 0.2 + 0.0 -0.3 + 0.1x = 0.2 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.1x = 0.2 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.1x = 0.2 + 0.3 0.1x = 0.2 + 0.3 Combine like terms: 0.2 + 0.3 = 0.5 0.1x = 0.5 Divide each side by '0.1'. x = 5 Simplifying x = 5
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