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Simplifying (2X + -6) + -1(X + -7) = 0 Reorder the terms: (-6 + 2X) + -1(X + -7) = 0 Remove parenthesis around (-6 + 2X) -6 + 2X + -1(X + -7) = 0 Reorder the terms: -6 + 2X + -1(-7 + X) = 0 -6 + 2X + (-7 * -1 + X * -1) = 0 -6 + 2X + (7 + -1X) = 0 Reorder the terms: -6 + 7 + 2X + -1X = 0 Combine like terms: -6 + 7 = 1 1 + 2X + -1X = 0 Combine like terms: 2X + -1X = 1X 1 + 1X = 0 Solving 1 + 1X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1X = 0 + -1 1X = 0 + -1 Combine like terms: 0 + -1 = -1 1X = -1 Divide each side by '1'. X = -1 Simplifying X = -1
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