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Simplifying 3(2x + 7) = 3(3x + 9) Reorder the terms: 3(7 + 2x) = 3(3x + 9) (7 * 3 + 2x * 3) = 3(3x + 9) (21 + 6x) = 3(3x + 9) Reorder the terms: 21 + 6x = 3(9 + 3x) 21 + 6x = (9 * 3 + 3x * 3) 21 + 6x = (27 + 9x) Solving 21 + 6x = 27 + 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. 21 + 6x + -9x = 27 + 9x + -9x Combine like terms: 6x + -9x = -3x 21 + -3x = 27 + 9x + -9x Combine like terms: 9x + -9x = 0 21 + -3x = 27 + 0 21 + -3x = 27 Add '-21' to each side of the equation. 21 + -21 + -3x = 27 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = 27 + -21 -3x = 27 + -21 Combine like terms: 27 + -21 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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