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Simplifying 6(7x + 5) = -8x Reorder the terms: 6(5 + 7x) = -8x (5 * 6 + 7x * 6) = -8x (30 + 42x) = -8x Solving 30 + 42x = -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 = -8x + 8x Combine like terms: 42x + 8x = 50x 30 + 50x = -8x + 8x Combine like terms: -8x + 8x = 0 30 + 50x = 0 Add '-30' to each side of the equation. 30 + -30 + 50x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 50x = 0 + -30 50x = 0 + -30 Combine like terms: 0 + -30 = -30 50x = -30 Divide each side by '50'. x = -0.6 Simplifying x = -0.6
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