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Simplifying -2(6x + -4) = -32 + -4x Reorder the terms: -2(-4 + 6x) = -32 + -4x (-4 * -2 + 6x * -2) = -32 + -4x (8 + -12x) = -32 + -4x Solving 8 + -12x = -32 + -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. 8 + -12x + 4x = -32 + -4x + 4x Combine like terms: -12x + 4x = -8x 8 + -8x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + -8x = -32 + 0 8 + -8x = -32 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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