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Simplifying 6x + -5(5 + -1x) = 52 6x + (5 * -5 + -1x * -5) = 52 6x + (-25 + 5x) = 52 Reorder the terms: -25 + 6x + 5x = 52 Combine like terms: 6x + 5x = 11x -25 + 11x = 52 Solving -25 + 11x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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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