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Simplifying 4 = 4(X + -2) + -1(X + -6) Reorder the terms: 4 = 4(-2 + X) + -1(X + -6) 4 = (-2 * 4 + X * 4) + -1(X + -6) 4 = (-8 + 4X) + -1(X + -6) Reorder the terms: 4 = -8 + 4X + -1(-6 + X) 4 = -8 + 4X + (-6 * -1 + X * -1) 4 = -8 + 4X + (6 + -1X) Reorder the terms: 4 = -8 + 6 + 4X + -1X Combine like terms: -8 + 6 = -2 4 = -2 + 4X + -1X Combine like terms: 4X + -1X = 3X 4 = -2 + 3X Solving 4 = -2 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. 4 + -3X = -2 + 3X + -3X Combine like terms: 3X + -3X = 0 4 + -3X = -2 + 0 4 + -3X = -2 Add '-4' to each side of the equation. 4 + -4 + -3X = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -3X = -2 + -4 -3X = -2 + -4 Combine like terms: -2 + -4 = -6 -3X = -6 Divide each side by '-3'. X = 2 Simplifying X = 2
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