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Simplifying 2(7 + -1X) = 10 + -4(X + -5) (7 * 2 + -1X * 2) = 10 + -4(X + -5) (14 + -2X) = 10 + -4(X + -5) Reorder the terms: 14 + -2X = 10 + -4(-5 + X) 14 + -2X = 10 + (-5 * -4 + X * -4) 14 + -2X = 10 + (20 + -4X) Combine like terms: 10 + 20 = 30 14 + -2X = 30 + -4X Solving 14 + -2X = 30 + -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. 14 + -2X + 4X = 30 + -4X + 4X Combine like terms: -2X + 4X = 2X 14 + 2X = 30 + -4X + 4X Combine like terms: -4X + 4X = 0 14 + 2X = 30 + 0 14 + 2X = 30 Add '-14' to each side of the equation. 14 + -14 + 2X = 30 + -14 Combine like terms: 14 + -14 = 0 0 + 2X = 30 + -14 2X = 30 + -14 Combine like terms: 30 + -14 = 16 2X = 16 Divide each side by '2'. X = 8 Simplifying X = 8
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