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Simplifying -2(x + 4) = 2(10 + -2x) Reorder the terms: -2(4 + x) = 2(10 + -2x) (4 * -2 + x * -2) = 2(10 + -2x) (-8 + -2x) = 2(10 + -2x) -8 + -2x = (10 * 2 + -2x * 2) -8 + -2x = (20 + -4x) Solving -8 + -2x = 20 + -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. -8 + -2x + 4x = 20 + -4x + 4x Combine like terms: -2x + 4x = 2x -8 + 2x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 2x = 20 + 0 -8 + 2x = 20 Add '8' to each side of the equation. -8 + 8 + 2x = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 20 + 8 2x = 20 + 8 Combine like terms: 20 + 8 = 28 2x = 28 Divide each side by '2'. x = 14 Simplifying x = 14
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