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Simplifying 8x + -1(5 + -5x) = 9 + 11x + -12 8x + (5 * -1 + -5x * -1) = 9 + 11x + -12 8x + (-5 + 5x) = 9 + 11x + -12 Reorder the terms: -5 + 8x + 5x = 9 + 11x + -12 Combine like terms: 8x + 5x = 13x -5 + 13x = 9 + 11x + -12 Reorder the terms: -5 + 13x = 9 + -12 + 11x Combine like terms: 9 + -12 = -3 -5 + 13x = -3 + 11x Solving -5 + 13x = -3 + 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. -5 + 13x + -11x = -3 + 11x + -11x Combine like terms: 13x + -11x = 2x -5 + 2x = -3 + 11x + -11x Combine like terms: 11x + -11x = 0 -5 + 2x = -3 + 0 -5 + 2x = -3 Add '5' to each side of the equation. -5 + 5 + 2x = -3 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -3 + 5 2x = -3 + 5 Combine like terms: -3 + 5 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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