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Simplifying -2(x + 8) = 2(x + 2) Reorder the terms: -2(8 + x) = 2(x + 2) (8 * -2 + x * -2) = 2(x + 2) (-16 + -2x) = 2(x + 2) Reorder the terms: -16 + -2x = 2(2 + x) -16 + -2x = (2 * 2 + x * 2) -16 + -2x = (4 + 2x) Solving -16 + -2x = 4 + 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. -16 + -2x + -2x = 4 + 2x + -2x Combine like terms: -2x + -2x = -4x -16 + -4x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + -4x = 4 + 0 -16 + -4x = 4 Add '16' to each side of the equation. -16 + 16 + -4x = 4 + 16 Combine like terms: -16 + 16 = 0 0 + -4x = 4 + 16 -4x = 4 + 16 Combine like terms: 4 + 16 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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