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Simplifying 3(2 + x) = 12 + x (2 * 3 + x * 3) = 12 + x (6 + 3x) = 12 + x Solving 6 + 3x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 3x + -1x = 12 + x + -1x Combine like terms: 3x + -1x = 2x 6 + 2x = 12 + x + -1x Combine like terms: x + -1x = 0 6 + 2x = 12 + 0 6 + 2x = 12 Add '-6' to each side of the equation. 6 + -6 + 2x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 12 + -6 2x = 12 + -6 Combine like terms: 12 + -6 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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