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Simplifying -4(x + 2) + 6x = 32 Reorder the terms: -4(2 + x) + 6x = 32 (2 * -4 + x * -4) + 6x = 32 (-8 + -4x) + 6x = 32 Combine like terms: -4x + 6x = 2x -8 + 2x = 32 Solving -8 + 2x = 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 + 2x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 32 + 8 2x = 32 + 8 Combine like terms: 32 + 8 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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