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Simplifying 9(x + 3) = 3(2x + 1) Reorder the terms: 9(3 + x) = 3(2x + 1) (3 * 9 + x * 9) = 3(2x + 1) (27 + 9x) = 3(2x + 1) Reorder the terms: 27 + 9x = 3(1 + 2x) 27 + 9x = (1 * 3 + 2x * 3) 27 + 9x = (3 + 6x) Solving 27 + 9x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 27 + 9x + -6x = 3 + 6x + -6x Combine like terms: 9x + -6x = 3x 27 + 3x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + 3x = 3 + 0 27 + 3x = 3 Add '-27' to each side of the equation. 27 + -27 + 3x = 3 + -27 Combine like terms: 27 + -27 = 0 0 + 3x = 3 + -27 3x = 3 + -27 Combine like terms: 3 + -27 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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