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Simplifying -35 + -5x = -8(7x + -2) Reorder the terms: -35 + -5x = -8(-2 + 7x) -35 + -5x = (-2 * -8 + 7x * -8) -35 + -5x = (16 + -56x) Solving -35 + -5x = 16 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. -35 + -5x + 56x = 16 + -56x + 56x Combine like terms: -5x + 56x = 51x -35 + 51x = 16 + -56x + 56x Combine like terms: -56x + 56x = 0 -35 + 51x = 16 + 0 -35 + 51x = 16 Add '35' to each side of the equation. -35 + 35 + 51x = 16 + 35 Combine like terms: -35 + 35 = 0 0 + 51x = 16 + 35 51x = 16 + 35 Combine like terms: 16 + 35 = 51 51x = 51 Divide each side by '51'. x = 1 Simplifying x = 1
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