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