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Simplifying 11x + -41 = 5x + 1 Reorder the terms: -41 + 11x = 5x + 1 Reorder the terms: -41 + 11x = 1 + 5x Solving -41 + 11x = 1 + 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 + 11x + -5x = 1 + 5x + -5x Combine like terms: 11x + -5x = 6x -41 + 6x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -41 + 6x = 1 + 0 -41 + 6x = 1 Add '41' to each side of the equation. -41 + 41 + 6x = 1 + 41 Combine like terms: -41 + 41 = 0 0 + 6x = 1 + 41 6x = 1 + 41 Combine like terms: 1 + 41 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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