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Simplifying 6(9 + 2x) = 5x + 12 (9 * 6 + 2x * 6) = 5x + 12 (54 + 12x) = 5x + 12 Reorder the terms: 54 + 12x = 12 + 5x Solving 54 + 12x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 54 + 12x + -5x = 12 + 5x + -5x Combine like terms: 12x + -5x = 7x 54 + 7x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 54 + 7x = 12 + 0 54 + 7x = 12 Add '-54' to each side of the equation. 54 + -54 + 7x = 12 + -54 Combine like terms: 54 + -54 = 0 0 + 7x = 12 + -54 7x = 12 + -54 Combine like terms: 12 + -54 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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