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Simplifying 5(3x + -7) + -8x = 32 Reorder the terms: 5(-7 + 3x) + -8x = 32 (-7 * 5 + 3x * 5) + -8x = 32 (-35 + 15x) + -8x = 32 Combine like terms: 15x + -8x = 7x -35 + 7x = 32 Solving -35 + 7x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 7x = 32 + 35 Combine like terms: -35 + 35 = 0 0 + 7x = 32 + 35 7x = 32 + 35 Combine like terms: 32 + 35 = 67 7x = 67 Divide each side by '7'. x = 9.571428571 Simplifying x = 9.571428571
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