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Simplifying -8 + 2(x + -6) = -32 + -4x Reorder the terms: -8 + 2(-6 + x) = -32 + -4x -8 + (-6 * 2 + x * 2) = -32 + -4x -8 + (-12 + 2x) = -32 + -4x Combine like terms: -8 + -12 = -20 -20 + 2x = -32 + -4x Solving -20 + 2x = -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. -20 + 2x + 4x = -32 + -4x + 4x Combine like terms: 2x + 4x = 6x -20 + 6x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 -20 + 6x = -32 + 0 -20 + 6x = -32 Add '20' to each side of the equation. -20 + 20 + 6x = -32 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = -32 + 20 6x = -32 + 20 Combine like terms: -32 + 20 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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