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Simplifying -6 + 5(8X + -7) = -6(-9X + 5) + 9 Reorder the terms: -6 + 5(-7 + 8X) = -6(-9X + 5) + 9 -6 + (-7 * 5 + 8X * 5) = -6(-9X + 5) + 9 -6 + (-35 + 40X) = -6(-9X + 5) + 9 Combine like terms: -6 + -35 = -41 -41 + 40X = -6(-9X + 5) + 9 Reorder the terms: -41 + 40X = -6(5 + -9X) + 9 -41 + 40X = (5 * -6 + -9X * -6) + 9 -41 + 40X = (-30 + 54X) + 9 Reorder the terms: -41 + 40X = -30 + 9 + 54X Combine like terms: -30 + 9 = -21 -41 + 40X = -21 + 54X Solving -41 + 40X = -21 + 54X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-54X' to each side of the equation. -41 + 40X + -54X = -21 + 54X + -54X Combine like terms: 40X + -54X = -14X -41 + -14X = -21 + 54X + -54X Combine like terms: 54X + -54X = 0 -41 + -14X = -21 + 0 -41 + -14X = -21 Add '41' to each side of the equation. -41 + 41 + -14X = -21 + 41 Combine like terms: -41 + 41 = 0 0 + -14X = -21 + 41 -14X = -21 + 41 Combine like terms: -21 + 41 = 20 -14X = 20 Divide each side by '-14'. X = -1.428571429 Simplifying X = -1.428571429
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