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Simplifying 5(x + -5) = 52 + -6x Reorder the terms: 5(-5 + x) = 52 + -6x (-5 * 5 + x * 5) = 52 + -6x (-25 + 5x) = 52 + -6x Solving -25 + 5x = 52 + -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 = 52 + -6x + 6x Combine like terms: 5x + 6x = 11x -25 + 11x = 52 + -6x + 6x Combine like terms: -6x + 6x = 0 -25 + 11x = 52 + 0 -25 + 11x = 52 Add '25' to each side of the equation. -25 + 25 + 11x = 52 + 25 Combine like terms: -25 + 25 = 0 0 + 11x = 52 + 25 11x = 52 + 25 Combine like terms: 52 + 25 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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