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Simplifying 8(X + 4) = 6(X + 6) Reorder the terms: 8(4 + X) = 6(X + 6) (4 * 8 + X * 8) = 6(X + 6) (32 + 8X) = 6(X + 6) Reorder the terms: 32 + 8X = 6(6 + X) 32 + 8X = (6 * 6 + X * 6) 32 + 8X = (36 + 6X) Solving 32 + 8X = 36 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. 32 + 8X + -6X = 36 + 6X + -6X Combine like terms: 8X + -6X = 2X 32 + 2X = 36 + 6X + -6X Combine like terms: 6X + -6X = 0 32 + 2X = 36 + 0 32 + 2X = 36 Add '-32' to each side of the equation. 32 + -32 + 2X = 36 + -32 Combine like terms: 32 + -32 = 0 0 + 2X = 36 + -32 2X = 36 + -32 Combine like terms: 36 + -32 = 4 2X = 4 Divide each side by '2'. X = 2 Simplifying X = 2
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