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Simplifying -1(x + 6) = 3x + 2 Reorder the terms: -1(6 + x) = 3x + 2 (6 * -1 + x * -1) = 3x + 2 (-6 + -1x) = 3x + 2 Reorder the terms: -6 + -1x = 2 + 3x Solving -6 + -1x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + -1x + -3x = 2 + 3x + -3x Combine like terms: -1x + -3x = -4x -6 + -4x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -4x = 2 + 0 -6 + -4x = 2 Add '6' to each side of the equation. -6 + 6 + -4x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 2 + 6 -4x = 2 + 6 Combine like terms: 2 + 6 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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