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Simplifying 10x + 1 = 5x + 41 Reorder the terms: 1 + 10x = 5x + 41 Reorder the terms: 1 + 10x = 41 + 5x Solving 1 + 10x = 41 + 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. 1 + 10x + -5x = 41 + 5x + -5x Combine like terms: 10x + -5x = 5x 1 + 5x = 41 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 5x = 41 + 0 1 + 5x = 41 Add '-1' to each side of the equation. 1 + -1 + 5x = 41 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 41 + -1 5x = 41 + -1 Combine like terms: 41 + -1 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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