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