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Simplifying -1(3X + -8 + 2X) + -15X = -4X + 6 + -6(9 + X) Reorder the terms: -1(-8 + 3X + 2X) + -15X = -4X + 6 + -6(9 + X) Combine like terms: 3X + 2X = 5X -1(-8 + 5X) + -15X = -4X + 6 + -6(9 + X) (-8 * -1 + 5X * -1) + -15X = -4X + 6 + -6(9 + X) (8 + -5X) + -15X = -4X + 6 + -6(9 + X) Combine like terms: -5X + -15X = -20X 8 + -20X = -4X + 6 + -6(9 + X) 8 + -20X = -4X + 6 + (9 * -6 + X * -6) 8 + -20X = -4X + 6 + (-54 + -6X) Reorder the terms: 8 + -20X = 6 + -54 + -4X + -6X Combine like terms: 6 + -54 = -48 8 + -20X = -48 + -4X + -6X Combine like terms: -4X + -6X = -10X 8 + -20X = -48 + -10X Solving 8 + -20X = -48 + -10X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10X' to each side of the equation. 8 + -20X + 10X = -48 + -10X + 10X Combine like terms: -20X + 10X = -10X 8 + -10X = -48 + -10X + 10X Combine like terms: -10X + 10X = 0 8 + -10X = -48 + 0 8 + -10X = -48 Add '-8' to each side of the equation. 8 + -8 + -10X = -48 + -8 Combine like terms: 8 + -8 = 0 0 + -10X = -48 + -8 -10X = -48 + -8 Combine like terms: -48 + -8 = -56 -10X = -56 Divide each side by '-10'. X = 5.6 Simplifying X = 5.6
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