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Simplifying 4X + -1(2X + -9) + 3(X + -1) = -1(-4X + -16) Reorder the terms: 4X + -1(-9 + 2X) + 3(X + -1) = -1(-4X + -16) 4X + (-9 * -1 + 2X * -1) + 3(X + -1) = -1(-4X + -16) 4X + (9 + -2X) + 3(X + -1) = -1(-4X + -16) Reorder the terms: 4X + 9 + -2X + 3(-1 + X) = -1(-4X + -16) 4X + 9 + -2X + (-1 * 3 + X * 3) = -1(-4X + -16) 4X + 9 + -2X + (-3 + 3X) = -1(-4X + -16) Reorder the terms: 9 + -3 + 4X + -2X + 3X = -1(-4X + -16) Combine like terms: 9 + -3 = 6 6 + 4X + -2X + 3X = -1(-4X + -16) Combine like terms: 4X + -2X = 2X 6 + 2X + 3X = -1(-4X + -16) Combine like terms: 2X + 3X = 5X 6 + 5X = -1(-4X + -16) Reorder the terms: 6 + 5X = -1(-16 + -4X) 6 + 5X = (-16 * -1 + -4X * -1) 6 + 5X = (16 + 4X) Solving 6 + 5X = 16 + 4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4X' to each side of the equation. 6 + 5X + -4X = 16 + 4X + -4X Combine like terms: 5X + -4X = 1X 6 + 1X = 16 + 4X + -4X Combine like terms: 4X + -4X = 0 6 + 1X = 16 + 0 6 + 1X = 16 Add '-6' to each side of the equation. 6 + -6 + 1X = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 1X = 16 + -6 1X = 16 + -6 Combine like terms: 16 + -6 = 10 1X = 10 Divide each side by '1'. X = 10 Simplifying X = 10
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