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Simplifying 6(2x + -2) = -8(x + 4) Reorder the terms: 6(-2 + 2x) = -8(x + 4) (-2 * 6 + 2x * 6) = -8(x + 4) (-12 + 12x) = -8(x + 4) Reorder the terms: -12 + 12x = -8(4 + x) -12 + 12x = (4 * -8 + x * -8) -12 + 12x = (-32 + -8x) Solving -12 + 12x = -32 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -12 + 12x + 8x = -32 + -8x + 8x Combine like terms: 12x + 8x = 20x -12 + 20x = -32 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + 20x = -32 + 0 -12 + 20x = -32 Add '12' to each side of the equation. -12 + 12 + 20x = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 20x = -32 + 12 20x = -32 + 12 Combine like terms: -32 + 12 = -20 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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