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Simplifying 7X + -3(X + -6) = 2(5 + X) Reorder the terms: 7X + -3(-6 + X) = 2(5 + X) 7X + (-6 * -3 + X * -3) = 2(5 + X) 7X + (18 + -3X) = 2(5 + X) Reorder the terms: 18 + 7X + -3X = 2(5 + X) Combine like terms: 7X + -3X = 4X 18 + 4X = 2(5 + X) 18 + 4X = (5 * 2 + X * 2) 18 + 4X = (10 + 2X) Solving 18 + 4X = 10 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. 18 + 4X + -2X = 10 + 2X + -2X Combine like terms: 4X + -2X = 2X 18 + 2X = 10 + 2X + -2X Combine like terms: 2X + -2X = 0 18 + 2X = 10 + 0 18 + 2X = 10 Add '-18' to each side of the equation. 18 + -18 + 2X = 10 + -18 Combine like terms: 18 + -18 = 0 0 + 2X = 10 + -18 2X = 10 + -18 Combine like terms: 10 + -18 = -8 2X = -8 Divide each side by '2'. X = -4 Simplifying X = -4
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