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Simplifying 0.8x + 11 = 0.3x + 41 Reorder the terms: 11 + 0.8x = 0.3x + 41 Reorder the terms: 11 + 0.8x = 41 + 0.3x Solving 11 + 0.8x = 41 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 11 + 0.8x + -0.3x = 41 + 0.3x + -0.3x Combine like terms: 0.8x + -0.3x = 0.5x 11 + 0.5x = 41 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 11 + 0.5x = 41 + 0.0 11 + 0.5x = 41 Add '-11' to each side of the equation. 11 + -11 + 0.5x = 41 + -11 Combine like terms: 11 + -11 = 0 0 + 0.5x = 41 + -11 0.5x = 41 + -11 Combine like terms: 41 + -11 = 30 0.5x = 30 Divide each side by '0.5'. x = 60 Simplifying x = 60
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