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Simplifying 2(2x + -4) + 4x = 32 Reorder the terms: 2(-4 + 2x) + 4x = 32 (-4 * 2 + 2x * 2) + 4x = 32 (-8 + 4x) + 4x = 32 Combine like terms: 4x + 4x = 8x -8 + 8x = 32 Solving -8 + 8x = 32 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 + 8x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 32 + 8 8x = 32 + 8 Combine like terms: 32 + 8 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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