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