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Simplifying 2(4x + -2) = 2(2x + 4) Reorder the terms: 2(-2 + 4x) = 2(2x + 4) (-2 * 2 + 4x * 2) = 2(2x + 4) (-4 + 8x) = 2(2x + 4) Reorder the terms: -4 + 8x = 2(4 + 2x) -4 + 8x = (4 * 2 + 2x * 2) -4 + 8x = (8 + 4x) Solving -4 + 8x = 8 + 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. -4 + 8x + -4x = 8 + 4x + -4x Combine like terms: 8x + -4x = 4x -4 + 4x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 4x = 8 + 0 -4 + 4x = 8 Add '4' to each side of the equation. -4 + 4 + 4x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 8 + 4 4x = 8 + 4 Combine like terms: 8 + 4 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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