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Simplifying 0.7x + -0.2 = 0.5x + 0.8 Reorder the terms: -0.2 + 0.7x = 0.5x + 0.8 Reorder the terms: -0.2 + 0.7x = 0.8 + 0.5x Solving -0.2 + 0.7x = 0.8 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -0.2 + 0.7x + -0.5x = 0.8 + 0.5x + -0.5x Combine like terms: 0.7x + -0.5x = 0.2x -0.2 + 0.2x = 0.8 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.2 + 0.2x = 0.8 + 0.0 -0.2 + 0.2x = 0.8 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.2x = 0.8 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.2x = 0.8 + 0.2 0.2x = 0.8 + 0.2 Combine like terms: 0.8 + 0.2 = 1 0.2x = 1 Divide each side by '0.2'. x = 5 Simplifying x = 5
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