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Simplifying -5(-6x + -5) = -5x + 10(10 + 11x) Reorder the terms: -5(-5 + -6x) = -5x + 10(10 + 11x) (-5 * -5 + -6x * -5) = -5x + 10(10 + 11x) (25 + 30x) = -5x + 10(10 + 11x) 25 + 30x = -5x + (10 * 10 + 11x * 10) 25 + 30x = -5x + (100 + 110x) Reorder the terms: 25 + 30x = 100 + -5x + 110x Combine like terms: -5x + 110x = 105x 25 + 30x = 100 + 105x Solving 25 + 30x = 100 + 105x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-105x' to each side of the equation. 25 + 30x + -105x = 100 + 105x + -105x Combine like terms: 30x + -105x = -75x 25 + -75x = 100 + 105x + -105x Combine like terms: 105x + -105x = 0 25 + -75x = 100 + 0 25 + -75x = 100 Add '-25' to each side of the equation. 25 + -25 + -75x = 100 + -25 Combine like terms: 25 + -25 = 0 0 + -75x = 100 + -25 -75x = 100 + -25 Combine like terms: 100 + -25 = 75 -75x = 75 Divide each side by '-75'. x = -1 Simplifying x = -1
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