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Simplifying 5(-1x + 7) = -3(7x + 2) + 8 Reorder the terms: 5(7 + -1x) = -3(7x + 2) + 8 (7 * 5 + -1x * 5) = -3(7x + 2) + 8 (35 + -5x) = -3(7x + 2) + 8 Reorder the terms: 35 + -5x = -3(2 + 7x) + 8 35 + -5x = (2 * -3 + 7x * -3) + 8 35 + -5x = (-6 + -21x) + 8 Reorder the terms: 35 + -5x = -6 + 8 + -21x Combine like terms: -6 + 8 = 2 35 + -5x = 2 + -21x Solving 35 + -5x = 2 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. 35 + -5x + 21x = 2 + -21x + 21x Combine like terms: -5x + 21x = 16x 35 + 16x = 2 + -21x + 21x Combine like terms: -21x + 21x = 0 35 + 16x = 2 + 0 35 + 16x = 2 Add '-35' to each side of the equation. 35 + -35 + 16x = 2 + -35 Combine like terms: 35 + -35 = 0 0 + 16x = 2 + -35 16x = 2 + -35 Combine like terms: 2 + -35 = -33 16x = -33 Divide each side by '16'. x = -2.0625 Simplifying x = -2.0625
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