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Simplifying 3(X + -1) + -4(5X + -3) = 2(6 + X) Reorder the terms: 3(-1 + X) + -4(5X + -3) = 2(6 + X) (-1 * 3 + X * 3) + -4(5X + -3) = 2(6 + X) (-3 + 3X) + -4(5X + -3) = 2(6 + X) Reorder the terms: -3 + 3X + -4(-3 + 5X) = 2(6 + X) -3 + 3X + (-3 * -4 + 5X * -4) = 2(6 + X) -3 + 3X + (12 + -20X) = 2(6 + X) Reorder the terms: -3 + 12 + 3X + -20X = 2(6 + X) Combine like terms: -3 + 12 = 9 9 + 3X + -20X = 2(6 + X) Combine like terms: 3X + -20X = -17X 9 + -17X = 2(6 + X) 9 + -17X = (6 * 2 + X * 2) 9 + -17X = (12 + 2X) Solving 9 + -17X = 12 + 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. 9 + -17X + -2X = 12 + 2X + -2X Combine like terms: -17X + -2X = -19X 9 + -19X = 12 + 2X + -2X Combine like terms: 2X + -2X = 0 9 + -19X = 12 + 0 9 + -19X = 12 Add '-9' to each side of the equation. 9 + -9 + -19X = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -19X = 12 + -9 -19X = 12 + -9 Combine like terms: 12 + -9 = 3 -19X = 3 Divide each side by '-19'. X = -0.1578947368 Simplifying X = -0.1578947368
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