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Simplifying 6(X + 2) + -5X = 39 + -1(8X + -9) Reorder the terms: 6(2 + X) + -5X = 39 + -1(8X + -9) (2 * 6 + X * 6) + -5X = 39 + -1(8X + -9) (12 + 6X) + -5X = 39 + -1(8X + -9) Combine like terms: 6X + -5X = 1X 12 + 1X = 39 + -1(8X + -9) Reorder the terms: 12 + 1X = 39 + -1(-9 + 8X) 12 + 1X = 39 + (-9 * -1 + 8X * -1) 12 + 1X = 39 + (9 + -8X) Combine like terms: 39 + 9 = 48 12 + 1X = 48 + -8X Solving 12 + 1X = 48 + -8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8X' to each side of the equation. 12 + 1X + 8X = 48 + -8X + 8X Combine like terms: 1X + 8X = 9X 12 + 9X = 48 + -8X + 8X Combine like terms: -8X + 8X = 0 12 + 9X = 48 + 0 12 + 9X = 48 Add '-12' to each side of the equation. 12 + -12 + 9X = 48 + -12 Combine like terms: 12 + -12 = 0 0 + 9X = 48 + -12 9X = 48 + -12 Combine like terms: 48 + -12 = 36 9X = 36 Divide each side by '9'. X = 4 Simplifying X = 4
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