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Simplifying 12(2x + 7) = 6(2x + 18) Reorder the terms: 12(7 + 2x) = 6(2x + 18) (7 * 12 + 2x * 12) = 6(2x + 18) (84 + 24x) = 6(2x + 18) Reorder the terms: 84 + 24x = 6(18 + 2x) 84 + 24x = (18 * 6 + 2x * 6) 84 + 24x = (108 + 12x) Solving 84 + 24x = 108 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 84 + 24x + -12x = 108 + 12x + -12x Combine like terms: 24x + -12x = 12x 84 + 12x = 108 + 12x + -12x Combine like terms: 12x + -12x = 0 84 + 12x = 108 + 0 84 + 12x = 108 Add '-84' to each side of the equation. 84 + -84 + 12x = 108 + -84 Combine like terms: 84 + -84 = 0 0 + 12x = 108 + -84 12x = 108 + -84 Combine like terms: 108 + -84 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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