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Simplifying 6(9 + 2x) = 6x + 12 (9 * 6 + 2x * 6) = 6x + 12 (54 + 12x) = 6x + 12 Reorder the terms: 54 + 12x = 12 + 6x Solving 54 + 12x = 12 + 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. 54 + 12x + -6x = 12 + 6x + -6x Combine like terms: 12x + -6x = 6x 54 + 6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 54 + 6x = 12 + 0 54 + 6x = 12 Add '-54' to each side of the equation. 54 + -54 + 6x = 12 + -54 Combine like terms: 54 + -54 = 0 0 + 6x = 12 + -54 6x = 12 + -54 Combine like terms: 12 + -54 = -42 6x = -42 Divide each side by '6'. x = -7 Simplifying x = -7
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