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Simplifying -281 = -6x + 7(-3x + -17) Reorder the terms: -281 = -6x + 7(-17 + -3x) -281 = -6x + (-17 * 7 + -3x * 7) -281 = -6x + (-119 + -21x) Reorder the terms: -281 = -119 + -6x + -21x Combine like terms: -6x + -21x = -27x -281 = -119 + -27x Solving -281 = -119 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -281 + 27x = -119 + -27x + 27x Combine like terms: -27x + 27x = 0 -281 + 27x = -119 + 0 -281 + 27x = -119 Add '281' to each side of the equation. -281 + 281 + 27x = -119 + 281 Combine like terms: -281 + 281 = 0 0 + 27x = -119 + 281 27x = -119 + 281 Combine like terms: -119 + 281 = 162 27x = 162 Divide each side by '27'. x = 6 Simplifying x = 6
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