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Simplifying -6(-5 + -7x) = -8x + 2 (-5 * -6 + -7x * -6) = -8x + 2 (30 + 42x) = -8x + 2 Reorder the terms: 30 + 42x = 2 + -8x Solving 30 + 42x = 2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 30 + 42x + 8x = 2 + -8x + 8x Combine like terms: 42x + 8x = 50x 30 + 50x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 30 + 50x = 2 + 0 30 + 50x = 2 Add '-30' to each side of the equation. 30 + -30 + 50x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + 50x = 2 + -30 50x = 2 + -30 Combine like terms: 2 + -30 = -28 50x = -28 Divide each side by '50'. x = -0.56 Simplifying x = -0.56
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