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Simplifying 8[x + -4] = -2[x + 6] Reorder the terms: 8[-4 + x] = -2[x + 6] [-4 * 8 + x * 8] = -2[x + 6] [-32 + 8x] = -2[x + 6] Reorder the terms: -32 + 8x = -2[6 + x] -32 + 8x = [6 * -2 + x * -2] -32 + 8x = [-12 + -2x] Solving -32 + 8x = -12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -32 + 8x + 2x = -12 + -2x + 2x Combine like terms: 8x + 2x = 10x -32 + 10x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 -32 + 10x = -12 + 0 -32 + 10x = -12 Add '32' to each side of the equation. -32 + 32 + 10x = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 10x = -12 + 32 10x = -12 + 32 Combine like terms: -12 + 32 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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