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