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