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Simplifying 2 + -3(2X + 3) + -1 = 5X + -1(2X + -2) Reorder the terms: 2 + -3(3 + 2X) + -1 = 5X + -1(2X + -2) 2 + (3 * -3 + 2X * -3) + -1 = 5X + -1(2X + -2) 2 + (-9 + -6X) + -1 = 5X + -1(2X + -2) Reorder the terms: 2 + -9 + -1 + -6X = 5X + -1(2X + -2) Combine like terms: 2 + -9 = -7 -7 + -1 + -6X = 5X + -1(2X + -2) Combine like terms: -7 + -1 = -8 -8 + -6X = 5X + -1(2X + -2) Reorder the terms: -8 + -6X = 5X + -1(-2 + 2X) -8 + -6X = 5X + (-2 * -1 + 2X * -1) -8 + -6X = 5X + (2 + -2X) Reorder the terms: -8 + -6X = 2 + 5X + -2X Combine like terms: 5X + -2X = 3X -8 + -6X = 2 + 3X Solving -8 + -6X = 2 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. -8 + -6X + -3X = 2 + 3X + -3X Combine like terms: -6X + -3X = -9X -8 + -9X = 2 + 3X + -3X Combine like terms: 3X + -3X = 0 -8 + -9X = 2 + 0 -8 + -9X = 2 Add '8' to each side of the equation. -8 + 8 + -9X = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -9X = 2 + 8 -9X = 2 + 8 Combine like terms: 2 + 8 = 10 -9X = 10 Divide each side by '-9'. X = -1.111111111 Simplifying X = -1.111111111
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