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Simplifying 3(3x + 1) = 7(x + 3) Reorder the terms: 3(1 + 3x) = 7(x + 3) (1 * 3 + 3x * 3) = 7(x + 3) (3 + 9x) = 7(x + 3) Reorder the terms: 3 + 9x = 7(3 + x) 3 + 9x = (3 * 7 + x * 7) 3 + 9x = (21 + 7x) Solving 3 + 9x = 21 + 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. 3 + 9x + -7x = 21 + 7x + -7x Combine like terms: 9x + -7x = 2x 3 + 2x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + 2x = 21 + 0 3 + 2x = 21 Add '-3' to each side of the equation. 3 + -3 + 2x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 21 + -3 2x = 21 + -3 Combine like terms: 21 + -3 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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