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Simplifying 32 = 2(4 + 3X) + 2(X + 6) 32 = (4 * 2 + 3X * 2) + 2(X + 6) 32 = (8 + 6X) + 2(X + 6) Reorder the terms: 32 = 8 + 6X + 2(6 + X) 32 = 8 + 6X + (6 * 2 + X * 2) 32 = 8 + 6X + (12 + 2X) Reorder the terms: 32 = 8 + 12 + 6X + 2X Combine like terms: 8 + 12 = 20 32 = 20 + 6X + 2X Combine like terms: 6X + 2X = 8X 32 = 20 + 8X Solving 32 = 20 + 8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. 32 + -8X = 20 + 8X + -8X Combine like terms: 8X + -8X = 0 32 + -8X = 20 + 0 32 + -8X = 20 Add '-32' to each side of the equation. 32 + -32 + -8X = 20 + -32 Combine like terms: 32 + -32 = 0 0 + -8X = 20 + -32 -8X = 20 + -32 Combine like terms: 20 + -32 = -12 -8X = -12 Divide each side by '-8'. X = 1.5 Simplifying X = 1.5
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