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Simplifying 0.8x + 3 = 0.3x + 41 Reorder the terms: 3 + 0.8x = 0.3x + 41 Reorder the terms: 3 + 0.8x = 41 + 0.3x Solving 3 + 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. 3 + 0.8x + -0.3x = 41 + 0.3x + -0.3x Combine like terms: 0.8x + -0.3x = 0.5x 3 + 0.5x = 41 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 3 + 0.5x = 41 + 0.0 3 + 0.5x = 41 Add '-3' to each side of the equation. 3 + -3 + 0.5x = 41 + -3 Combine like terms: 3 + -3 = 0 0 + 0.5x = 41 + -3 0.5x = 41 + -3 Combine like terms: 41 + -3 = 38 0.5x = 38 Divide each side by '0.5'. x = 76 Simplifying x = 76
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