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Simplifying 3(X + 2) + -1(2X + -7) = -1(5X + -1) + -2(X + 6) Reorder the terms: 3(2 + X) + -1(2X + -7) = -1(5X + -1) + -2(X + 6) (2 * 3 + X * 3) + -1(2X + -7) = -1(5X + -1) + -2(X + 6) (6 + 3X) + -1(2X + -7) = -1(5X + -1) + -2(X + 6) Reorder the terms: 6 + 3X + -1(-7 + 2X) = -1(5X + -1) + -2(X + 6) 6 + 3X + (-7 * -1 + 2X * -1) = -1(5X + -1) + -2(X + 6) 6 + 3X + (7 + -2X) = -1(5X + -1) + -2(X + 6) Reorder the terms: 6 + 7 + 3X + -2X = -1(5X + -1) + -2(X + 6) Combine like terms: 6 + 7 = 13 13 + 3X + -2X = -1(5X + -1) + -2(X + 6) Combine like terms: 3X + -2X = 1X 13 + 1X = -1(5X + -1) + -2(X + 6) Reorder the terms: 13 + 1X = -1(-1 + 5X) + -2(X + 6) 13 + 1X = (-1 * -1 + 5X * -1) + -2(X + 6) 13 + 1X = (1 + -5X) + -2(X + 6) Reorder the terms: 13 + 1X = 1 + -5X + -2(6 + X) 13 + 1X = 1 + -5X + (6 * -2 + X * -2) 13 + 1X = 1 + -5X + (-12 + -2X) Reorder the terms: 13 + 1X = 1 + -12 + -5X + -2X Combine like terms: 1 + -12 = -11 13 + 1X = -11 + -5X + -2X Combine like terms: -5X + -2X = -7X 13 + 1X = -11 + -7X Solving 13 + 1X = -11 + -7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7X' to each side of the equation. 13 + 1X + 7X = -11 + -7X + 7X Combine like terms: 1X + 7X = 8X 13 + 8X = -11 + -7X + 7X Combine like terms: -7X + 7X = 0 13 + 8X = -11 + 0 13 + 8X = -11 Add '-13' to each side of the equation. 13 + -13 + 8X = -11 + -13 Combine like terms: 13 + -13 = 0 0 + 8X = -11 + -13 8X = -11 + -13 Combine like terms: -11 + -13 = -24 8X = -24 Divide each side by '8'. X = -3 Simplifying X = -3
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