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Simplifying -1(1 + -1x) = 7x + 2 (1 * -1 + -1x * -1) = 7x + 2 (-1 + 1x) = 7x + 2 Reorder the terms: -1 + 1x = 2 + 7x Solving -1 + 1x = 2 + 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 + 1x + -7x = 2 + 7x + -7x Combine like terms: 1x + -7x = -6x -1 + -6x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -6x = 2 + 0 -1 + -6x = 2 Add '1' to each side of the equation. -1 + 1 + -6x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 2 + 1 -6x = 2 + 1 Combine like terms: 2 + 1 = 3 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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