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Simplifying 0.2x + 0.8 = 0.7x + -1.7 Reorder the terms: 0.8 + 0.2x = 0.7x + -1.7 Reorder the terms: 0.8 + 0.2x = -1.7 + 0.7x Solving 0.8 + 0.2x = -1.7 + 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. 0.8 + 0.2x + -0.7x = -1.7 + 0.7x + -0.7x Combine like terms: 0.2x + -0.7x = -0.5x 0.8 + -0.5x = -1.7 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 0.8 + -0.5x = -1.7 + 0.0 0.8 + -0.5x = -1.7 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.5x = -1.7 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.5x = -1.7 + -0.8 -0.5x = -1.7 + -0.8 Combine like terms: -1.7 + -0.8 = -2.5 -0.5x = -2.5 Divide each side by '-0.5'. x = 5 Simplifying x = 5
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