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Simplifying 5(x + -5) = 6x + -32 Reorder the terms: 5(-5 + x) = 6x + -32 (-5 * 5 + x * 5) = 6x + -32 (-25 + 5x) = 6x + -32 Reorder the terms: -25 + 5x = -32 + 6x Solving -25 + 5x = -32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -25 + 5x + -6x = -32 + 6x + -6x Combine like terms: 5x + -6x = -1x -25 + -1x = -32 + 6x + -6x Combine like terms: 6x + -6x = 0 -25 + -1x = -32 + 0 -25 + -1x = -32 Add '25' to each side of the equation. -25 + 25 + -1x = -32 + 25 Combine like terms: -25 + 25 = 0 0 + -1x = -32 + 25 -1x = -32 + 25 Combine like terms: -32 + 25 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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