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Simplifying -5x + -17(X + 6) = -3(7x + 5) Reorder the terms: -5x + -17(6 + X) = -3(7x + 5) -5x + (6 * -17 + X * -17) = -3(7x + 5) -5x + (-102 + -17X) = -3(7x + 5) Reorder the terms: -102 + -17X + -5x = -3(7x + 5) Reorder the terms: -102 + -17X + -5x = -3(5 + 7x) -102 + -17X + -5x = (5 * -3 + 7x * -3) -102 + -17X + -5x = (-15 + -21x) Solving -102 + -17X + -5x = -15 + -21x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '102' to each side of the equation. -102 + -17X + 102 + -5x = -15 + 102 + -21x Reorder the terms: -102 + 102 + -17X + -5x = -15 + 102 + -21x Combine like terms: -102 + 102 = 0 0 + -17X + -5x = -15 + 102 + -21x -17X + -5x = -15 + 102 + -21x Combine like terms: -15 + 102 = 87 -17X + -5x = 87 + -21x Add '5x' to each side of the equation. -17X + -5x + 5x = 87 + -21x + 5x Combine like terms: -5x + 5x = 0 -17X + 0 = 87 + -21x + 5x -17X = 87 + -21x + 5x Combine like terms: -21x + 5x = -16x -17X = 87 + -16x Divide each side by '-17'. X = -5.117647059 + 0.9411764706x Simplifying X = -5.117647059 + 0.9411764706x
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