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Simplifying 0.5x + 2 = 5 + 0.8x Reorder the terms: 2 + 0.5x = 5 + 0.8x Solving 2 + 0.5x = 5 + 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. 2 + 0.5x + -0.8x = 5 + 0.8x + -0.8x Combine like terms: 0.5x + -0.8x = -0.3x 2 + -0.3x = 5 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 2 + -0.3x = 5 + 0.0 2 + -0.3x = 5 Add '-2' to each side of the equation. 2 + -2 + -0.3x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -0.3x = 5 + -2 -0.3x = 5 + -2 Combine like terms: 5 + -2 = 3 -0.3x = 3 Divide each side by '-0.3'. x = -10 Simplifying x = -10
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