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Simplifying -52 = -2x + 5(-1x + 5) Reorder the terms: -52 = -2x + 5(5 + -1x) -52 = -2x + (5 * 5 + -1x * 5) -52 = -2x + (25 + -5x) Reorder the terms: -52 = 25 + -2x + -5x Combine like terms: -2x + -5x = -7x -52 = 25 + -7x Solving -52 = 25 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -52 + 7x = 25 + -7x + 7x Combine like terms: -7x + 7x = 0 -52 + 7x = 25 + 0 -52 + 7x = 25 Add '52' to each side of the equation. -52 + 52 + 7x = 25 + 52 Combine like terms: -52 + 52 = 0 0 + 7x = 25 + 52 7x = 25 + 52 Combine like terms: 25 + 52 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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