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Simplifying 41 = x + -6x + 1 Reorder the terms: 41 = 1 + x + -6x Combine like terms: x + -6x = -5x 41 = 1 + -5x Solving 41 = 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 + 5x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 41 + 5x = 1 + 0 41 + 5x = 1 Add '-41' to each side of the equation. 41 + -41 + 5x = 1 + -41 Combine like terms: 41 + -41 = 0 0 + 5x = 1 + -41 5x = 1 + -41 Combine like terms: 1 + -41 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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