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Simplifying -1(x + 6) = x + -2 Reorder the terms: -1(6 + x) = x + -2 (6 * -1 + x * -1) = x + -2 (-6 + -1x) = x + -2 Reorder the terms: -6 + -1x = -2 + x Solving -6 + -1x = -2 + 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. -6 + -1x + -1x = -2 + x + -1x Combine like terms: -1x + -1x = -2x -6 + -2x = -2 + x + -1x Combine like terms: x + -1x = 0 -6 + -2x = -2 + 0 -6 + -2x = -2 Add '6' to each side of the equation. -6 + 6 + -2x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -2 + 6 -2x = -2 + 6 Combine like terms: -2 + 6 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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