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Simplifying 7(3x + 4) = 9(x + 3) + 11 Reorder the terms: 7(4 + 3x) = 9(x + 3) + 11 (4 * 7 + 3x * 7) = 9(x + 3) + 11 (28 + 21x) = 9(x + 3) + 11 Reorder the terms: 28 + 21x = 9(3 + x) + 11 28 + 21x = (3 * 9 + x * 9) + 11 28 + 21x = (27 + 9x) + 11 Reorder the terms: 28 + 21x = 27 + 11 + 9x Combine like terms: 27 + 11 = 38 28 + 21x = 38 + 9x Solving 28 + 21x = 38 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 28 + 21x + -9x = 38 + 9x + -9x Combine like terms: 21x + -9x = 12x 28 + 12x = 38 + 9x + -9x Combine like terms: 9x + -9x = 0 28 + 12x = 38 + 0 28 + 12x = 38 Add '-28' to each side of the equation. 28 + -28 + 12x = 38 + -28 Combine like terms: 28 + -28 = 0 0 + 12x = 38 + -28 12x = 38 + -28 Combine like terms: 38 + -28 = 10 12x = 10 Divide each side by '12'. x = 0.8333333333 Simplifying x = 0.8333333333
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