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Simplifying 3(3x + 1) = 3(x + 7) Reorder the terms: 3(1 + 3x) = 3(x + 7) (1 * 3 + 3x * 3) = 3(x + 7) (3 + 9x) = 3(x + 7) Reorder the terms: 3 + 9x = 3(7 + x) 3 + 9x = (7 * 3 + x * 3) 3 + 9x = (21 + 3x) Solving 3 + 9x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + 9x + -3x = 21 + 3x + -3x Combine like terms: 9x + -3x = 6x 3 + 6x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 6x = 21 + 0 3 + 6x = 21 Add '-3' to each side of the equation. 3 + -3 + 6x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 21 + -3 6x = 21 + -3 Combine like terms: 21 + -3 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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