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Simplifying 0.9x + 0.8 = 2 + 0.5x Reorder the terms: 0.8 + 0.9x = 2 + 0.5x Solving 0.8 + 0.9x = 2 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 0.8 + 0.9x + -0.5x = 2 + 0.5x + -0.5x Combine like terms: 0.9x + -0.5x = 0.4x 0.8 + 0.4x = 2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 0.8 + 0.4x = 2 + 0.0 0.8 + 0.4x = 2 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.4x = 2 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.4x = 2 + -0.8 0.4x = 2 + -0.8 Combine like terms: 2 + -0.8 = 1.2 0.4x = 1.2 Divide each side by '0.4'. x = 3 Simplifying x = 3
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