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Simplifying -5X + 6 + -3(X + -1) = -1(4X + -4) + -3X + 3 Reorder the terms: -5X + 6 + -3(-1 + X) = -1(4X + -4) + -3X + 3 -5X + 6 + (-1 * -3 + X * -3) = -1(4X + -4) + -3X + 3 -5X + 6 + (3 + -3X) = -1(4X + -4) + -3X + 3 Reorder the terms: 6 + 3 + -5X + -3X = -1(4X + -4) + -3X + 3 Combine like terms: 6 + 3 = 9 9 + -5X + -3X = -1(4X + -4) + -3X + 3 Combine like terms: -5X + -3X = -8X 9 + -8X = -1(4X + -4) + -3X + 3 Reorder the terms: 9 + -8X = -1(-4 + 4X) + -3X + 3 9 + -8X = (-4 * -1 + 4X * -1) + -3X + 3 9 + -8X = (4 + -4X) + -3X + 3 Reorder the terms: 9 + -8X = 4 + 3 + -4X + -3X Combine like terms: 4 + 3 = 7 9 + -8X = 7 + -4X + -3X Combine like terms: -4X + -3X = -7X 9 + -8X = 7 + -7X Solving 9 + -8X = 7 + -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. 9 + -8X + 7X = 7 + -7X + 7X Combine like terms: -8X + 7X = -1X 9 + -1X = 7 + -7X + 7X Combine like terms: -7X + 7X = 0 9 + -1X = 7 + 0 9 + -1X = 7 Add '-9' to each side of the equation. 9 + -9 + -1X = 7 + -9 Combine like terms: 9 + -9 = 0 0 + -1X = 7 + -9 -1X = 7 + -9 Combine like terms: 7 + -9 = -2 -1X = -2 Divide each side by '-1'. X = 2 Simplifying X = 2
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