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Simplifying 2(X + -6) + -6(X + -2) = X + 8 + -1(X + -8) Reorder the terms: 2(-6 + X) + -6(X + -2) = X + 8 + -1(X + -8) (-6 * 2 + X * 2) + -6(X + -2) = X + 8 + -1(X + -8) (-12 + 2X) + -6(X + -2) = X + 8 + -1(X + -8) Reorder the terms: -12 + 2X + -6(-2 + X) = X + 8 + -1(X + -8) -12 + 2X + (-2 * -6 + X * -6) = X + 8 + -1(X + -8) -12 + 2X + (12 + -6X) = X + 8 + -1(X + -8) Reorder the terms: -12 + 12 + 2X + -6X = X + 8 + -1(X + -8) Combine like terms: -12 + 12 = 0 0 + 2X + -6X = X + 8 + -1(X + -8) 2X + -6X = X + 8 + -1(X + -8) Combine like terms: 2X + -6X = -4X -4X = X + 8 + -1(X + -8) Reorder the terms: -4X = X + 8 + -1(-8 + X) -4X = X + 8 + (-8 * -1 + X * -1) -4X = X + 8 + (8 + -1X) Reorder the terms: -4X = 8 + 8 + X + -1X Combine like terms: 8 + 8 = 16 -4X = 16 + X + -1X Combine like terms: X + -1X = 0 -4X = 16 + 0 -4X = 16 Solving -4X = 16 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Divide each side by '-4'. X = -4 Simplifying X = -4
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