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Simplifying x + -11x = -5(5 + 10x) + -5(1 + -5x) Combine like terms: x + -11x = -10x -10x = -5(5 + 10x) + -5(1 + -5x) -10x = (5 * -5 + 10x * -5) + -5(1 + -5x) -10x = (-25 + -50x) + -5(1 + -5x) -10x = -25 + -50x + (1 * -5 + -5x * -5) -10x = -25 + -50x + (-5 + 25x) Reorder the terms: -10x = -25 + -5 + -50x + 25x Combine like terms: -25 + -5 = -30 -10x = -30 + -50x + 25x Combine like terms: -50x + 25x = -25x -10x = -30 + -25x Solving -10x = -30 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -10x + 25x = -30 + -25x + 25x Combine like terms: -10x + 25x = 15x 15x = -30 + -25x + 25x Combine like terms: -25x + 25x = 0 15x = -30 + 0 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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