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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 = 52 0.5x = 52 Divide each side by '0.5'. x = 104 Simplifying x = 104
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