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Simplifying 6 + -2(X + -6) = 2X + -14 Reorder the terms: 6 + -2(-6 + X) = 2X + -14 6 + (-6 * -2 + X * -2) = 2X + -14 6 + (12 + -2X) = 2X + -14 Combine like terms: 6 + 12 = 18 18 + -2X = 2X + -14 Reorder the terms: 18 + -2X = -14 + 2X Solving 18 + -2X = -14 + 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. 18 + -2X + -2X = -14 + 2X + -2X Combine like terms: -2X + -2X = -4X 18 + -4X = -14 + 2X + -2X Combine like terms: 2X + -2X = 0 18 + -4X = -14 + 0 18 + -4X = -14 Add '-18' to each side of the equation. 18 + -18 + -4X = -14 + -18 Combine like terms: 18 + -18 = 0 0 + -4X = -14 + -18 -4X = -14 + -18 Combine like terms: -14 + -18 = -32 -4X = -32 Divide each side by '-4'. X = 8 Simplifying X = 8
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