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Simplifying 7(3x + 6) = 11(x + 2) Reorder the terms: 7(6 + 3x) = 11(x + 2) (6 * 7 + 3x * 7) = 11(x + 2) (42 + 21x) = 11(x + 2) Reorder the terms: 42 + 21x = 11(2 + x) 42 + 21x = (2 * 11 + x * 11) 42 + 21x = (22 + 11x) Solving 42 + 21x = 22 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 42 + 21x + -11x = 22 + 11x + -11x Combine like terms: 21x + -11x = 10x 42 + 10x = 22 + 11x + -11x Combine like terms: 11x + -11x = 0 42 + 10x = 22 + 0 42 + 10x = 22 Add '-42' to each side of the equation. 42 + -42 + 10x = 22 + -42 Combine like terms: 42 + -42 = 0 0 + 10x = 22 + -42 10x = 22 + -42 Combine like terms: 22 + -42 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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