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Simplifying 2(11x + 11) = 6(2x + 12) Reorder the terms: 2(11 + 11x) = 6(2x + 12) (11 * 2 + 11x * 2) = 6(2x + 12) (22 + 22x) = 6(2x + 12) Reorder the terms: 22 + 22x = 6(12 + 2x) 22 + 22x = (12 * 6 + 2x * 6) 22 + 22x = (72 + 12x) Solving 22 + 22x = 72 + 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. 22 + 22x + -12x = 72 + 12x + -12x Combine like terms: 22x + -12x = 10x 22 + 10x = 72 + 12x + -12x Combine like terms: 12x + -12x = 0 22 + 10x = 72 + 0 22 + 10x = 72 Add '-22' to each side of the equation. 22 + -22 + 10x = 72 + -22 Combine like terms: 22 + -22 = 0 0 + 10x = 72 + -22 10x = 72 + -22 Combine like terms: 72 + -22 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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