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