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Simplifying (4 + 2x) * 2 = 2 + -2(X) Reorder the terms for easier multiplication: 2(4 + 2x) = 2 + -2(X) (4 * 2 + 2x * 2) = 2 + -2(X) (8 + 4x) = 2 + -2(X) Solving 8 + 4x = 2 + -2X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4x = 2 + -8 + -2X Combine like terms: 8 + -8 = 0 0 + 4x = 2 + -8 + -2X 4x = 2 + -8 + -2X Combine like terms: 2 + -8 = -6 4x = -6 + -2X Divide each side by '4'. x = -1.5 + -0.5X Simplifying x = -1.5 + -0.5X
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