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Simplifying 2[x + -4] = -4[x + 8] Reorder the terms: 2[-4 + x] = -4[x + 8] [-4 * 2 + x * 2] = -4[x + 8] [-8 + 2x] = -4[x + 8] Reorder the terms: -8 + 2x = -4[8 + x] -8 + 2x = [8 * -4 + x * -4] -8 + 2x = [-32 + -4x] Solving -8 + 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. -8 + 2x + 4x = -32 + -4x + 4x Combine like terms: 2x + 4x = 6x -8 + 6x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 -8 + 6x = -32 + 0 -8 + 6x = -32 Add '8' to each side of the equation. -8 + 8 + 6x = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = -32 + 8 6x = -32 + 8 Combine like terms: -32 + 8 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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