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Simplifying 6[6 + -1(-9X + -7)] = 270X + 246 Reorder the terms: 6[6 + -1(-7 + -9X)] = 270X + 246 6[6 + (-7 * -1 + -9X * -1)] = 270X + 246 6[6 + (7 + 9X)] = 270X + 246 Combine like terms: 6 + 7 = 13 6[13 + 9X] = 270X + 246 [13 * 6 + 9X * 6] = 270X + 246 [78 + 54X] = 270X + 246 Reorder the terms: 78 + 54X = 246 + 270X Solving 78 + 54X = 246 + 270X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-270X' to each side of the equation. 78 + 54X + -270X = 246 + 270X + -270X Combine like terms: 54X + -270X = -216X 78 + -216X = 246 + 270X + -270X Combine like terms: 270X + -270X = 0 78 + -216X = 246 + 0 78 + -216X = 246 Add '-78' to each side of the equation. 78 + -78 + -216X = 246 + -78 Combine like terms: 78 + -78 = 0 0 + -216X = 246 + -78 -216X = 246 + -78 Combine like terms: 246 + -78 = 168 -216X = 168 Divide each side by '-216'. X = -0.7777777778 Simplifying X = -0.7777777778
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