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Simplifying (x + -1) + -6x = x + 1 Reorder the terms: (-1 + x) + -6x = x + 1 Remove parenthesis around (-1 + x) -1 + x + -6x = x + 1 Combine like terms: x + -6x = -5x -1 + -5x = x + 1 Reorder the terms: -1 + -5x = 1 + x Solving -1 + -5x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + -5x + -1x = 1 + x + -1x Combine like terms: -5x + -1x = -6x -1 + -6x = 1 + x + -1x Combine like terms: x + -1x = 0 -1 + -6x = 1 + 0 -1 + -6x = 1 Add '1' to each side of the equation. -1 + 1 + -6x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 1 + 1 -6x = 1 + 1 Combine like terms: 1 + 1 = 2 -6x = 2 Divide each side by '-6'. x = -0.3333333333 Simplifying x = -0.3333333333
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