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Simplifying 2x + 3(-7x + -9) = 182 Reorder the terms: 2x + 3(-9 + -7x) = 182 2x + (-9 * 3 + -7x * 3) = 182 2x + (-27 + -21x) = 182 Reorder the terms: -27 + 2x + -21x = 182 Combine like terms: 2x + -21x = -19x -27 + -19x = 182 Solving -27 + -19x = 182 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -19x = 182 + 27 Combine like terms: -27 + 27 = 0 0 + -19x = 182 + 27 -19x = 182 + 27 Combine like terms: 182 + 27 = 209 -19x = 209 Divide each side by '-19'. x = -11 Simplifying x = -11
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