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Simplifying 3X + -1(8X + -2) = 7 + -2X + 4 Reorder the terms: 3X + -1(-2 + 8X) = 7 + -2X + 4 3X + (-2 * -1 + 8X * -1) = 7 + -2X + 4 3X + (2 + -8X) = 7 + -2X + 4 Reorder the terms: 2 + 3X + -8X = 7 + -2X + 4 Combine like terms: 3X + -8X = -5X 2 + -5X = 7 + -2X + 4 Reorder the terms: 2 + -5X = 7 + 4 + -2X Combine like terms: 7 + 4 = 11 2 + -5X = 11 + -2X Solving 2 + -5X = 11 + -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. 2 + -5X + 2X = 11 + -2X + 2X Combine like terms: -5X + 2X = -3X 2 + -3X = 11 + -2X + 2X Combine like terms: -2X + 2X = 0 2 + -3X = 11 + 0 2 + -3X = 11 Add '-2' to each side of the equation. 2 + -2 + -3X = 11 + -2 Combine like terms: 2 + -2 = 0 0 + -3X = 11 + -2 -3X = 11 + -2 Combine like terms: 11 + -2 = 9 -3X = 9 Divide each side by '-3'. X = -3 Simplifying X = -3
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