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Simplifying 6(12 + x) = 3(x + 2) (12 * 6 + x * 6) = 3(x + 2) (72 + 6x) = 3(x + 2) Reorder the terms: 72 + 6x = 3(2 + x) 72 + 6x = (2 * 3 + x * 3) 72 + 6x = (6 + 3x) Solving 72 + 6x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 72 + 6x + -3x = 6 + 3x + -3x Combine like terms: 6x + -3x = 3x 72 + 3x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 72 + 3x = 6 + 0 72 + 3x = 6 Add '-72' to each side of the equation. 72 + -72 + 3x = 6 + -72 Combine like terms: 72 + -72 = 0 0 + 3x = 6 + -72 3x = 6 + -72 Combine like terms: 6 + -72 = -66 3x = -66 Divide each side by '3'. x = -22 Simplifying x = -22
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