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Simplifying -2(x + 4) = 2x + 8 Reorder the terms: -2(4 + x) = 2x + 8 (4 * -2 + x * -2) = 2x + 8 (-8 + -2x) = 2x + 8 Reorder the terms: -8 + -2x = 8 + 2x Solving -8 + -2x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -8 + -2x + -2x = 8 + 2x + -2x Combine like terms: -2x + -2x = -4x -8 + -4x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -4x = 8 + 0 -8 + -4x = 8 Add '8' to each side of the equation. -8 + 8 + -4x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 8 + 8 -4x = 8 + 8 Combine like terms: 8 + 8 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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