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Simplifying 6.5x + 41 = 5x + 50 Reorder the terms: 41 + 6.5x = 5x + 50 Reorder the terms: 41 + 6.5x = 50 + 5x Solving 41 + 6.5x = 50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 41 + 6.5x + -5x = 50 + 5x + -5x Combine like terms: 6.5x + -5x = 1.5x 41 + 1.5x = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 41 + 1.5x = 50 + 0 41 + 1.5x = 50 Add '-41' to each side of the equation. 41 + -41 + 1.5x = 50 + -41 Combine like terms: 41 + -41 = 0 0 + 1.5x = 50 + -41 1.5x = 50 + -41 Combine like terms: 50 + -41 = 9 1.5x = 9 Divide each side by '1.5'. x = 6 Simplifying x = 6
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