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Simplifying 3(3x + 2) = 7(x + 4) Reorder the terms: 3(2 + 3x) = 7(x + 4) (2 * 3 + 3x * 3) = 7(x + 4) (6 + 9x) = 7(x + 4) Reorder the terms: 6 + 9x = 7(4 + x) 6 + 9x = (4 * 7 + x * 7) 6 + 9x = (28 + 7x) Solving 6 + 9x = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 6 + 9x + -7x = 28 + 7x + -7x Combine like terms: 9x + -7x = 2x 6 + 2x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + 2x = 28 + 0 6 + 2x = 28 Add '-6' to each side of the equation. 6 + -6 + 2x = 28 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 28 + -6 2x = 28 + -6 Combine like terms: 28 + -6 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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