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Simplifying -27 + 7X = 8 + -6(2 + -5X) -27 + 7X = 8 + (2 * -6 + -5X * -6) -27 + 7X = 8 + (-12 + 30X) Combine like terms: 8 + -12 = -4 -27 + 7X = -4 + 30X Solving -27 + 7X = -4 + 30X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-30X' to each side of the equation. -27 + 7X + -30X = -4 + 30X + -30X Combine like terms: 7X + -30X = -23X -27 + -23X = -4 + 30X + -30X Combine like terms: 30X + -30X = 0 -27 + -23X = -4 + 0 -27 + -23X = -4 Add '27' to each side of the equation. -27 + 27 + -23X = -4 + 27 Combine like terms: -27 + 27 = 0 0 + -23X = -4 + 27 -23X = -4 + 27 Combine like terms: -4 + 27 = 23 -23X = 23 Divide each side by '-23'. X = -1 Simplifying X = -1
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