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Simplifying -2(X + -4) = 7X + 4(2 + 7X) Reorder the terms: -2(-4 + X) = 7X + 4(2 + 7X) (-4 * -2 + X * -2) = 7X + 4(2 + 7X) (8 + -2X) = 7X + 4(2 + 7X) 8 + -2X = 7X + (2 * 4 + 7X * 4) 8 + -2X = 7X + (8 + 28X) Reorder the terms: 8 + -2X = 8 + 7X + 28X Combine like terms: 7X + 28X = 35X 8 + -2X = 8 + 35X Add '-8' to each side of the equation. 8 + -8 + -2X = 8 + -8 + 35X Combine like terms: 8 + -8 = 0 0 + -2X = 8 + -8 + 35X -2X = 8 + -8 + 35X Combine like terms: 8 + -8 = 0 -2X = 0 + 35X -2X = 35X Solving -2X = 35X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-35X' to each side of the equation. -2X + -35X = 35X + -35X Combine like terms: -2X + -35X = -37X -37X = 35X + -35X Combine like terms: 35X + -35X = 0 -37X = 0 Divide each side by '-37'. X = 0 Simplifying X = 0
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