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Simplifying (4 + 2x) * 2 = 2 + -2x Reorder the terms for easier multiplication: 2(4 + 2x) = 2 + -2x (4 * 2 + 2x * 2) = 2 + -2x (8 + 4x) = 2 + -2x Solving 8 + 4x = 2 + -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 + 4x + 2x = 2 + -2x + 2x Combine like terms: 4x + 2x = 6x 8 + 6x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 6x = 2 + 0 8 + 6x = 2 Add '-8' to each side of the equation. 8 + -8 + 6x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 2 + -8 6x = 2 + -8 Combine like terms: 2 + -8 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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