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Simplifying -6(X + -6) = 2(X + 14) Reorder the terms: -6(-6 + X) = 2(X + 14) (-6 * -6 + X * -6) = 2(X + 14) (36 + -6X) = 2(X + 14) Reorder the terms: 36 + -6X = 2(14 + X) 36 + -6X = (14 * 2 + X * 2) 36 + -6X = (28 + 2X) Solving 36 + -6X = 28 + 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. 36 + -6X + -2X = 28 + 2X + -2X Combine like terms: -6X + -2X = -8X 36 + -8X = 28 + 2X + -2X Combine like terms: 2X + -2X = 0 36 + -8X = 28 + 0 36 + -8X = 28 Add '-36' to each side of the equation. 36 + -36 + -8X = 28 + -36 Combine like terms: 36 + -36 = 0 0 + -8X = 28 + -36 -8X = 28 + -36 Combine like terms: 28 + -36 = -8 -8X = -8 Divide each side by '-8'. X = 1 Simplifying X = 1
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