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Simplifying 0.5x + -0.2 = 0.8x + 0.7 Reorder the terms: -0.2 + 0.5x = 0.8x + 0.7 Reorder the terms: -0.2 + 0.5x = 0.7 + 0.8x Solving -0.2 + 0.5x = 0.7 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -0.2 + 0.5x + -0.8x = 0.7 + 0.8x + -0.8x Combine like terms: 0.5x + -0.8x = -0.3x -0.2 + -0.3x = 0.7 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -0.2 + -0.3x = 0.7 + 0.0 -0.2 + -0.3x = 0.7 Add '0.2' to each side of the equation. -0.2 + 0.2 + -0.3x = 0.7 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -0.3x = 0.7 + 0.2 -0.3x = 0.7 + 0.2 Combine like terms: 0.7 + 0.2 = 0.9 -0.3x = 0.9 Divide each side by '-0.3'. x = -3 Simplifying x = -3
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