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Simplifying 3(2x + 9) = -19x + 2 Reorder the terms: 3(9 + 2x) = -19x + 2 (9 * 3 + 2x * 3) = -19x + 2 (27 + 6x) = -19x + 2 Reorder the terms: 27 + 6x = 2 + -19x Solving 27 + 6x = 2 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 27 + 6x + 19x = 2 + -19x + 19x Combine like terms: 6x + 19x = 25x 27 + 25x = 2 + -19x + 19x Combine like terms: -19x + 19x = 0 27 + 25x = 2 + 0 27 + 25x = 2 Add '-27' to each side of the equation. 27 + -27 + 25x = 2 + -27 Combine like terms: 27 + -27 = 0 0 + 25x = 2 + -27 25x = 2 + -27 Combine like terms: 2 + -27 = -25 25x = -25 Divide each side by '25'. x = -1 Simplifying x = -1
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