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Simplifying 3(3x + 2) = 3(x + 9) + -19 Reorder the terms: 3(2 + 3x) = 3(x + 9) + -19 (2 * 3 + 3x * 3) = 3(x + 9) + -19 (6 + 9x) = 3(x + 9) + -19 Reorder the terms: 6 + 9x = 3(9 + x) + -19 6 + 9x = (9 * 3 + x * 3) + -19 6 + 9x = (27 + 3x) + -19 Reorder the terms: 6 + 9x = 27 + -19 + 3x Combine like terms: 27 + -19 = 8 6 + 9x = 8 + 3x Solving 6 + 9x = 8 + 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. 6 + 9x + -3x = 8 + 3x + -3x Combine like terms: 9x + -3x = 6x 6 + 6x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 6x = 8 + 0 6 + 6x = 8 Add '-6' to each side of the equation. 6 + -6 + 6x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 8 + -6 6x = 8 + -6 Combine like terms: 8 + -6 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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