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Simplifying 2 + 3(-7x + -1) = -5(-1x + -7) + 8 Reorder the terms: 2 + 3(-1 + -7x) = -5(-1x + -7) + 8 2 + (-1 * 3 + -7x * 3) = -5(-1x + -7) + 8 2 + (-3 + -21x) = -5(-1x + -7) + 8 Combine like terms: 2 + -3 = -1 -1 + -21x = -5(-1x + -7) + 8 Reorder the terms: -1 + -21x = -5(-7 + -1x) + 8 -1 + -21x = (-7 * -5 + -1x * -5) + 8 -1 + -21x = (35 + 5x) + 8 Reorder the terms: -1 + -21x = 35 + 8 + 5x Combine like terms: 35 + 8 = 43 -1 + -21x = 43 + 5x Solving -1 + -21x = 43 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + -21x + -5x = 43 + 5x + -5x Combine like terms: -21x + -5x = -26x -1 + -26x = 43 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -26x = 43 + 0 -1 + -26x = 43 Add '1' to each side of the equation. -1 + 1 + -26x = 43 + 1 Combine like terms: -1 + 1 = 0 0 + -26x = 43 + 1 -26x = 43 + 1 Combine like terms: 43 + 1 = 44 -26x = 44 Divide each side by '-26'. x = -1.692307692 Simplifying x = -1.692307692
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