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Simplifying 0.5x + 2.5 = 0.8x + 2 Reorder the terms: 2.5 + 0.5x = 0.8x + 2 Reorder the terms: 2.5 + 0.5x = 2 + 0.8x Solving 2.5 + 0.5x = 2 + 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. 2.5 + 0.5x + -0.8x = 2 + 0.8x + -0.8x Combine like terms: 0.5x + -0.8x = -0.3x 2.5 + -0.3x = 2 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 2.5 + -0.3x = 2 + 0.0 2.5 + -0.3x = 2 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -0.3x = 2 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.3x = 2 + -2.5 -0.3x = 2 + -2.5 Combine like terms: 2 + -2.5 = -0.5 -0.3x = -0.5 Divide each side by '-0.3'. x = 1.666666667 Simplifying x = 1.666666667
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