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Simplifying -2X + -17(X + 6) = -6(3X + 2) Reorder the terms: -2X + -17(6 + X) = -6(3X + 2) -2X + (6 * -17 + X * -17) = -6(3X + 2) -2X + (-102 + -17X) = -6(3X + 2) Reorder the terms: -102 + -2X + -17X = -6(3X + 2) Combine like terms: -2X + -17X = -19X -102 + -19X = -6(3X + 2) Reorder the terms: -102 + -19X = -6(2 + 3X) -102 + -19X = (2 * -6 + 3X * -6) -102 + -19X = (-12 + -18X) Solving -102 + -19X = -12 + -18X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '18X' to each side of the equation. -102 + -19X + 18X = -12 + -18X + 18X Combine like terms: -19X + 18X = -1X -102 + -1X = -12 + -18X + 18X Combine like terms: -18X + 18X = 0 -102 + -1X = -12 + 0 -102 + -1X = -12 Add '102' to each side of the equation. -102 + 102 + -1X = -12 + 102 Combine like terms: -102 + 102 = 0 0 + -1X = -12 + 102 -1X = -12 + 102 Combine like terms: -12 + 102 = 90 -1X = 90 Divide each side by '-1'. X = -90 Simplifying X = -90
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