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Simplifying 3(x + 9) = 2 + -2x Reorder the terms: 3(9 + x) = 2 + -2x (9 * 3 + x * 3) = 2 + -2x (27 + 3x) = 2 + -2x Solving 27 + 3x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 27 + 3x + 2x = 2 + -2x + 2x Combine like terms: 3x + 2x = 5x 27 + 5x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 27 + 5x = 2 + 0 27 + 5x = 2 Add '-27' to each side of the equation. 27 + -27 + 5x = 2 + -27 Combine like terms: 27 + -27 = 0 0 + 5x = 2 + -27 5x = 2 + -27 Combine like terms: 2 + -27 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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