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Simplifying 5(5x + -5) = -6 + 6x Reorder the terms: 5(-5 + 5x) = -6 + 6x (-5 * 5 + 5x * 5) = -6 + 6x (-25 + 25x) = -6 + 6x Solving -25 + 25x = -6 + 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 + 25x + -6x = -6 + 6x + -6x Combine like terms: 25x + -6x = 19x -25 + 19x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -25 + 19x = -6 + 0 -25 + 19x = -6 Add '25' to each side of the equation. -25 + 25 + 19x = -6 + 25 Combine like terms: -25 + 25 = 0 0 + 19x = -6 + 25 19x = -6 + 25 Combine like terms: -6 + 25 = 19 19x = 19 Divide each side by '19'. x = 1 Simplifying x = 1
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