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Simplifying -1 + x = 7x + 41 Reorder the terms: -1 + x = 41 + 7x Solving -1 + x = 41 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + x + -7x = 41 + 7x + -7x Combine like terms: x + -7x = -6x -1 + -6x = 41 + 7x + -7x Combine like terms: 7x + -7x = 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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