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Simplifying 11 = 3(X + -2) + -1(X + -7) Reorder the terms: 11 = 3(-2 + X) + -1(X + -7) 11 = (-2 * 3 + X * 3) + -1(X + -7) 11 = (-6 + 3X) + -1(X + -7) Reorder the terms: 11 = -6 + 3X + -1(-7 + X) 11 = -6 + 3X + (-7 * -1 + X * -1) 11 = -6 + 3X + (7 + -1X) Reorder the terms: 11 = -6 + 7 + 3X + -1X Combine like terms: -6 + 7 = 1 11 = 1 + 3X + -1X Combine like terms: 3X + -1X = 2X 11 = 1 + 2X Solving 11 = 1 + 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. 11 + -2X = 1 + 2X + -2X Combine like terms: 2X + -2X = 0 11 + -2X = 1 + 0 11 + -2X = 1 Add '-11' to each side of the equation. 11 + -11 + -2X = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -2X = 1 + -11 -2X = 1 + -11 Combine like terms: 1 + -11 = -10 -2X = -10 Divide each side by '-2'. X = 5 Simplifying X = 5
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