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Simplifying -5(-5x + 3) = 11x + 55 Reorder the terms: -5(3 + -5x) = 11x + 55 (3 * -5 + -5x * -5) = 11x + 55 (-15 + 25x) = 11x + 55 Reorder the terms: -15 + 25x = 55 + 11x Solving -15 + 25x = 55 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -15 + 25x + -11x = 55 + 11x + -11x Combine like terms: 25x + -11x = 14x -15 + 14x = 55 + 11x + -11x Combine like terms: 11x + -11x = 0 -15 + 14x = 55 + 0 -15 + 14x = 55 Add '15' to each side of the equation. -15 + 15 + 14x = 55 + 15 Combine like terms: -15 + 15 = 0 0 + 14x = 55 + 15 14x = 55 + 15 Combine like terms: 55 + 15 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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