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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 = 5 5 + 21x = -5(-1x + -7) + 8 Reorder the terms: 5 + 21x = -5(-7 + -1x) + 8 5 + 21x = (-7 * -5 + -1x * -5) + 8 5 + 21x = (35 + 5x) + 8 Reorder the terms: 5 + 21x = 35 + 8 + 5x Combine like terms: 35 + 8 = 43 5 + 21x = 43 + 5x Solving 5 + 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. 5 + 21x + -5x = 43 + 5x + -5x Combine like terms: 21x + -5x = 16x 5 + 16x = 43 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + 16x = 43 + 0 5 + 16x = 43 Add '-5' to each side of the equation. 5 + -5 + 16x = 43 + -5 Combine like terms: 5 + -5 = 0 0 + 16x = 43 + -5 16x = 43 + -5 Combine like terms: 43 + -5 = 38 16x = 38 Divide each side by '16'. x = 2.375 Simplifying x = 2.375
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