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Simplifying 2(4 + -2x) + -8 = 2x + 12 (4 * 2 + -2x * 2) + -8 = 2x + 12 (8 + -4x) + -8 = 2x + 12 Reorder the terms: 8 + -8 + -4x = 2x + 12 Combine like terms: 8 + -8 = 0 0 + -4x = 2x + 12 -4x = 2x + 12 Reorder the terms: -4x = 12 + 2x Solving -4x = 12 + 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. -4x + -2x = 12 + 2x + -2x Combine like terms: -4x + -2x = -6x -6x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -6x = 12 + 0 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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