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Simplifying 8(X + 1) = 4(X + 3) Reorder the terms: 8(1 + X) = 4(X + 3) (1 * 8 + X * 8) = 4(X + 3) (8 + 8X) = 4(X + 3) Reorder the terms: 8 + 8X = 4(3 + X) 8 + 8X = (3 * 4 + X * 4) 8 + 8X = (12 + 4X) Solving 8 + 8X = 12 + 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. 8 + 8X + -4X = 12 + 4X + -4X Combine like terms: 8X + -4X = 4X 8 + 4X = 12 + 4X + -4X Combine like terms: 4X + -4X = 0 8 + 4X = 12 + 0 8 + 4X = 12 Add '-8' to each side of the equation. 8 + -8 + 4X = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 4X = 12 + -8 4X = 12 + -8 Combine like terms: 12 + -8 = 4 4X = 4 Divide each side by '4'. X = 1 Simplifying X = 1
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