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Simplifying -1(X + -8) + 4(X + 2) = 4(X + -3) Reorder the terms: -1(-8 + X) + 4(X + 2) = 4(X + -3) (-8 * -1 + X * -1) + 4(X + 2) = 4(X + -3) (8 + -1X) + 4(X + 2) = 4(X + -3) Reorder the terms: 8 + -1X + 4(2 + X) = 4(X + -3) 8 + -1X + (2 * 4 + X * 4) = 4(X + -3) 8 + -1X + (8 + 4X) = 4(X + -3) Reorder the terms: 8 + 8 + -1X + 4X = 4(X + -3) Combine like terms: 8 + 8 = 16 16 + -1X + 4X = 4(X + -3) Combine like terms: -1X + 4X = 3X 16 + 3X = 4(X + -3) Reorder the terms: 16 + 3X = 4(-3 + X) 16 + 3X = (-3 * 4 + X * 4) 16 + 3X = (-12 + 4X) Solving 16 + 3X = -12 + 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. 16 + 3X + -4X = -12 + 4X + -4X Combine like terms: 3X + -4X = -1X 16 + -1X = -12 + 4X + -4X Combine like terms: 4X + -4X = 0 16 + -1X = -12 + 0 16 + -1X = -12 Add '-16' to each side of the equation. 16 + -16 + -1X = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -1X = -12 + -16 -1X = -12 + -16 Combine like terms: -12 + -16 = -28 -1X = -28 Divide each side by '-1'. X = 28 Simplifying X = 28
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