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Simplifying 5(x + -5) = 32 + -2x Reorder the terms: 5(-5 + x) = 32 + -2x (-5 * 5 + x * 5) = 32 + -2x (-25 + 5x) = 32 + -2x Solving -25 + 5x = 32 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -25 + 5x + 2x = 32 + -2x + 2x Combine like terms: 5x + 2x = 7x -25 + 7x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 -25 + 7x = 32 + 0 -25 + 7x = 32 Add '25' to each side of the equation. -25 + 25 + 7x = 32 + 25 Combine like terms: -25 + 25 = 0 0 + 7x = 32 + 25 7x = 32 + 25 Combine like terms: 32 + 25 = 57 7x = 57 Divide each side by '7'. x = 8.142857143 Simplifying x = 8.142857143
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